Journal: Int. J. Comput. Math.

Volume 95, Issue 9

1715 -- 1726Qian Guo, Wei Liu, Xuerong Mao, Weijun Zhan. Multi-level Monte Carlo methods with the truncated Euler-Maruyama scheme for stochastic differential equations
1727 -- 1760Sean Breckling, Monika Neda. Numerical study of the Navier-Stokes-α deconvolution model with pointwise mass conservation
1761 -- 1774Dong-Yuh Yang, Ya-Dun Chang. Sensitivity analysis of the machine repair problem with general repeated attempts
1775 -- 1805Ranjit Kumar Upadhyay, Sangeeta Kumari. Bifurcation analysis of an e-epidemic model in wireless sensor network
1806 -- 1819Zhongdi Cen, Aimin Xu, Anbo Le. A high-order finite difference scheme for a singularly perturbed fourth-order ordinary differential equation
1820 -- 1828Razika Boutrig, Mustapha Chellali. Total vertex-edge domination
1829 -- 1844Jian Lu, Ke Qiao, Lixin Shen, Yuru Zou. Fixed-point algorithms for a TVL1 image restoration model
1845 -- 1857Zhengguang Shi, Yanmin Zhao, Yifa Tang, Fenling Wang, Yanhua Shi. Superconvergence analysis of an H1-Galerkin mixed finite element method for two-dimensional multi-term time fractional diffusion equations
1858 -- 1873Hadi Nosratipour, Omid Solaymani Fard, Akbar Hashemi Borzabadi. Optimal control of viscous Burgers equation via an adaptive nonmonotone Barzilai-Borwein gradient method
1874 -- 1892Feng Liao, Luming Zhang. Optimal error estimates of explicit finite difference schemes for the coupled Gross-Pitaevskii equations
1893 -- 1909Xiaoli Feng, Zhi Qian. An a posteriori wavelet method for solving two kinds of ill-posed problems
1910 -- 1926C. Lakshmi, Ashish Awasthi. Robust numerical scheme for nonlinear modified Burgers equation

Volume 95, Issue 8

1453 -- 1477Shang Liu, Yanping Chen 0002, Yunqing Huang, Jie Zhou. Two-grid methods for miscible displacement problem by Galerkin methods and mixed finite-element methods
1478 -- 1493Leijie Qiao, Da Xu. Orthogonal spline collocation scheme for the multi-term time-fractional diffusion equation
1494 -- 1526Dan Li 0008, Detong Zhu. An affine scaling interior trust-region method combining with nonmonotone line search filter technique for linear inequality constrained minimization
1527 -- 1547Wei Gao, Weifan Wang. Analysis of k-partite ranking algorithm in area under the receiver operating characteristic curve criterion
1548 -- 1564Qasem M. Al-Mdallal, Mohammed Al-Refai, Muhammed I. Syam, Moh'd Khier Al-Srihin. Theoretical and computational perspectives on the eigenvalues of fourth-order fractional Sturm-Liouville problem
1565 -- 1582Ricardo Crisóstomo. Speed and biases of Fourier-based pricing choices: a numerical analysis
1583 -- 1608Jialing Wang, Yushun Wang. Numerical analysis of a new conservative scheme for the coupled nonlinear Schrödinger equations
1609 -- 1621Yulan Wang, Mingjing Du, Temuer Chaolu, Dan Tian. Using reproducing kernel for solving a class of time-fractional telegraph equation with initial value conditions
1622 -- 1653T. Chourushi. Computationally inexpensive and revised normalized weighting factor method for segregated solvers
1654 -- 1665M. S. Hashemi, E. Darvishi, M. Inc. A geometric numerical integration method for solving the Volterra integro-differential equations
1666 -- 1671Xifu Liu. Hermitian and non-negative definite reflexive and anti-reflexive solutions to AX=B
1672 -- 1687Lisha Wang, Wendi Qin, Xiaohua Ding. Dissipativity of θ-methods for a class of advection-reaction-diffusion equations with both fixed and distributed delays
1688 -- 1702Yuan Wu, Jin Liang. A new model and its numerical method to identify multi credit migration boundaries
1703 -- 1713Ke Su, Dan Yang. A smooth Newton method with 3-1 piecewise NCP function for generalized nonlinear complementarity problem

Volume 95, Issue 6-7

1047 -- 0Khaled M. Furati, Abdul Q. Khaliq, Changpin Li, Mohsen Zayernouri. Preface
1048 -- 1099Changpin Li, An Chen. Numerical methods for fractional partial differential equations
1100 -- 1113Zivorad Tomovski, Trifce Sandev. Distributed-order wave equations with composite time fractional derivative
1114 -- 1130Ye Hu, Changpin Li, Hefeng Li. The finite difference method for Caputo-type parabolic equation with fractional Laplacian: more than one space dimension
1131 -- 1150Bo Yu, Xiaoyun Jiang, Haitao Qi. Numerical method for the estimation of the fractional parameters in the fractional mobile/immobile advection-diffusion model
1151 -- 1169Yanzhi Liu, Jason Roberts, Yubin Yan. A note on finite difference methods for nonlinear fractional differential equations with non-uniform meshes
1170 -- 1194K. Sayevand, M. R. Rostami, H. S. Attari. A new study on delay fractional variational problems
1195 -- 1209Yufeng Xu, Hai-wei Sun, Qin Sheng. On variational properties of balanced central fractional derivatives
1210 -- 1221X. Y. Li, B. Y. Wu. Iterative reproducing kernel method for nonlinear variable-order space fractional diffusion equations
1222 -- 1239A. Abirami, P. Prakash, K. Thangavel. Fractional diffusion equation-based image denoising model using CN-GL scheme
1240 -- 1256Khaled M. Furati, M. Yousuf, A. Q. M. Khaliq. Fourth-order methods for space fractional reaction-diffusion equations with non-smooth data
1257 -- 1273Maryam Naghibolhosseini, Glenis R. Long. Fractional-order modelling and simulation of human ear
1274 -- 1291Olaniyi Samuel Iyiola, E. O. Asante-Asamani, Khaled M. Furati, A. Q. M. Khaliq, Bruce A. Wade. Efficient time discretization scheme for nonlinear space fractional reaction-diffusion equations
1292 -- 1307Hu Chen, Tao Sun. A Petrov-Galerkin spectral method for the linearized time fractional KdV equation
1308 -- 1325Shengyue Li, Zhaojie Zhou. Legendre pseudo-spectral method for optimal control problem governed by a time-fractional diffusion equation
1326 -- 1339S. Y. Reutskiy, Ji Lin. A semi-analytic collocation method for space fractional parabolic PDE
1340 -- 1361Ehsan Kharazmi, Mohsen Zayernouri. Fractional pseudo-spectral methods for distributed-order fractional PDEs
1362 -- 1374A. Durán. An efficient method to compute solitary wave solutions of fractional Korteweg-de Vries equations
1375 -- 1393Andreas Kleefeld, Sophia Vorderwülbecke, Bernhard Burgeth. Anomalous diffusion, dilation, and erosion in image processing
1394 -- 1407Zongze Yang, Jun-Gang Wang, Yan Li, Yufeng Nie. Effective numerical treatment of sub-diffusion equation with non-smooth solution
1408 -- 1422M. Yousuf. A second-order efficient L-stable numerical method for space fractional reaction-diffusion equations
1423 -- 1443Xavier Antoine, Qinglin Tang, Jiwei Zhang. On the numerical solution and dynamical laws of nonlinear fractional Schrödinger/Gross-Pitaevskii equations
1444 -- 1452Mohammed Alhorani, Roshdi Khalil. Total fractional differentials with applications to exact fractional differential equations

Volume 95, Issue 5

845 -- 869Huali Zhao, Hongwei Liu. Infeasible path-following interior point algorithm for Cartesian P*(κ) nonlinear complementarity problems over symmetric cones
870 -- 880M. Raissi, P. Seshaiyer. Application of local improvements to reduced-order models to sampling methods for nonlinear PDEs with noise
881 -- 897Salima Kouser, Shafiq ur Réhman, Fayyaz Ahmad, Stefano Serra Capizzano, Malik Zaka Ullah, Ali Saleh Alshomrani, Hani M. Aljahdali, Shamshad Ahmad, Shahid Ahmad. Generalized newton multi-step iterative methods GMNp, m for solving system of nonlinear equations
898 -- 919Sirilak Sriburadet, B.-W. Jeng, C.-S. Chien. Efficient continuation methods for spin-1 Bose-Einstein condensates in a magnetic field
920 -- 938Janak Raj Sharma, Himani Arora. Efficient higher order derivative-free multipoint methods with and without memory for systems of nonlinear equations
939 -- 960Yu Xiao, Mahmoud A. Eissa, Boping Tian. Convergence and stability of split-step theta methods with variable step-size for stochastic pantograph differential equations
961 -- 978Feng Liao, Luming Zhang. Numerical analysis of a conservative linear compact difference scheme for the coupled Schrödinger-Boussinesq equations
979 -- 997Jiyong Li, Ming Lu, Xuli Qi. Trigonometrically fitted multi-step hybrid methods for oscillatory special second-order initial value problems
998 -- 1014Xiaoyong Xu, Da Xu. Legendre wavelets method for approximate solution of fractional-order differential equations under multi-point boundary conditions
1015 -- 1023Qing Xue, Jing Niu, Dandan Yu, Cuiping Ran. An improved reproducing kernel method for Fredholm integro-differential type two-point boundary value problems
1024 -- 1046Siraj-Ul-Islam, Sakhi Zaman. Numerical methods for multivariate highly oscillatory integrals

Volume 95, Issue 4

645 -- 685Mostafa Zahri. Barycentric interpolation of interface solution for solving stochastic partial differential equations on non-overlapping subdomains with additive multi-noises
686 -- 709Yun-Bo Yang, Yao-Lin Jiang. Analysis of two decoupled time-stepping finite-element methods for incompressible fluids with microstructure
710 -- 720Haifeng Ma. Acute perturbation bounds of weighted Moore-Penrose inverse
721 -- 738Mojtaba Nouri Bygi, Mohammad Ghodsi. Weak visibility queries of line segments in simple polygons and polygonal domains
739 -- 751Li Dong, Jingyong Tang, Xinyu Song. A non-monotone inexact non-interior continuation method based on a parametric smoothing function for LWCP
752 -- 766H. S. Shukla, Mohammad Tamsir, Ram Jiwari, Vineet K. Srivastava. A numerical algorithm for computation modelling of 3D nonlinear wave equations based on exponential modified cubic B-spline differential quadrature method
767 -- 796K. Sayevand, K. Pichaghchi. A novel operational matrix method for solving singularly perturbed boundary value problems of fractional multi-order
797 -- 814K. Cao, Daniel Lesnic. Reconstruction of the perfusion coefficient from temperature measurements using the conjugate gradient method
815 -- 844Mahboub Baccouch. A posteriori local discontinuous Galerkin error estimates for the one-dimensional sine-Gordon equation

Volume 95, Issue 3

465 -- 489Payel Das, Gnaneshwar Nelakanti, Guangqing Long. Discrete Legendre spectral Galerkin method for Urysohn integral equations
490 -- 510Abhishek Das, Srinivasan Natesan. Second-order uniformly convergent numerical method for singularly perturbed delay parabolic partial differential equations
511 -- 527Weisheng Zhao, Heping Zhang. Upper bounds on the bondage number of the strong product of a graph and a tree
528 -- 539F. Rostami, A. Jafarian. A new artificial neural network structure for solving high-order linear fractional differential equations
540 -- 560Rongjun Cheng, Feng-Xin Sun, Jufeng Wang. Meshless analysis of two-dimensional two-sided space-fractional wave equation based on improved moving least-squares approximation
561 -- 583Dang Van Hieu. Two hybrid algorithms for solving split equilibrium problems
584 -- 600M. H. Rashid. Convergence analysis of a variant of Newton-type method for generalized equations
601 -- 625R. C. Mittal, Sapna Pandit. Sensitivity analysis of shock wave Burgers' equation via a novel algorithm based on scale-3 Haar wavelets
626 -- 644Bartosz Andreatto, Aleksandr Cariow. Automatic generation of fast algorithms for matrix-vector multiplication

Volume 95, Issue 2

279 -- 302Xuanxuan Zhou, Luming Zhang. A conservative compact difference scheme for the Zakharov equations in one space dimension
303 -- 315Duanmei Zhou, Jiu Ding. Solving the Yang-Baxter-like matrix equation for nilpotent matrices of index three
316 -- 328Xinrong Cong, Longsuo Li. Analysis on the stability of numerical schemes for a class of stochastic partial differential systems
329 -- 340Jianchao Bai, Ji-cheng Li, Junkai Deng. A class of multilevel structured low-rank approximation arising in material processing
341 -- 360Jingtang Ma, Hongji Tang, Song-Ping Zhu. Connection between trinomial trees and finite difference methods for option pricing with state-dependent switching rates
361 -- 381Rui Li, Jie Chen, Zhangxin Chen, Yali Gao. A decoupled scheme with leap-frog multi-time step for non-stationary Stokes-Darcy system
382 -- 395Xiangrong Li, Xiaoliang Wang, Zhou Sheng, Xiabin Duan. A modified conjugate gradient algorithm with backtracking line search technique for large-scale nonlinear equations
396 -- 411Zhengguang Liu, Aijie Cheng, Xiaoli Li 0008. A second-order finite difference scheme for quasilinear time fractional parabolic equation based on new fractional derivative
412 -- 426Qin Gao, Quanting Zhao, Minhong Chen. On a modified Numerov's method for inverse Sturm-Liouville problems
427 -- 443Fatemeh Panjeh Ali Beik, Salman Ahmadi-Asl, Arezo Ameri. On the iterative refinement of the solution of ill-conditioned linear system of equations
444 -- 464Z. van der Have, C. W. Oosterlee. The COS method for option valuation under the SABR dynamics

Volume 95, Issue 12

2361 -- 2362. Editors' Report
2363 -- 2387Wei Zhang, M. H. Song, M. Z. Liu. Strong convergence of the truncated Euler-Maruyama method for stochastic functional differential equations
2388 -- 2395Zepeng Li, Jin Xu. On the trees with same signed edge and signed star domination numbers
2396 -- 2418Fakhrodin Mohammadi. An efficient fractional-order wavelet method for fractional Volterra integro-differential equations
2419 -- 2432Chengjian Zhang, Wansheng Wang, Bochao Liu, Tingting Qin. A multi-domain Legendre spectral collocation method for nonlinear neutral equations with piecewise continuous argument
2433 -- 2457Junying Cao, Lizhen Chen, Ziqiang Wang. A high-order numerical scheme for the impulsive fractional ordinary differential equations
2458 -- 2470Maohua Ran, Yu He. Linearized Crank-Nicolson method for solving the nonlinear fractional diffusion equation with multi-delay
2471 -- 2495Songqiang Qiu, ZhongWen Chen. A central path interior point method for nonlinear programming and its local convergence
2496 -- 2510Gengen Zhang, Aiguo Xiao, Jie Zhou. Implicit-explicit multistep finite-element methods for nonlinear convection-diffusion-reaction equations with time delay
2511 -- 2524Xiuyan Li, Chiping Zhang, Qiang Ma 0004, Xiaohua Ding. Discrete gradient methods and linear projection methods for preserving a conserved quantity of stochastic differential equations
2525 -- 2538Mingzhu Li, Qiang Ma 0004, Xiaohua Ding. A compact ADI Crank-Nicolson difference scheme for the two-dimensional time fractional subdiffusion equation
2539 -- 2548Yingxiang Xu, Li Yang. Optimization of a parameterized inexact Uzawa method for saddle point problems
2549 -- 2568Yanying Ma, Jin Huang, Changqing Wang. Numerical solution of nonlinear two-dimensional Fredholm integral equations of the second kind using Sinc Nyström method
2569 -- 2573. Acknowledgement

Volume 95, Issue 11

2143 -- 2161Krzysztof Gawryluk, Tomasz Karpiuk, Mariusz Gajda, Kazimierz Rzazewski, Miroslaw Brewczyk. Unified way for computing dynamics of Bose-Einstein condensates and degenerate Fermi gases
2162 -- 2173Feifei Liu, Yulan Wang, Shuguang Li. Barycentric interpolation collocation method for solving the coupled viscous Burgers' equations
2174 -- 2211Min Surp Rhee, Young Ik Kim, Beny Neta. An optimal eighth-order class of three-step weighted Newton's methods and their dynamics behind the purely imaginary extraneous fixed points
2212 -- 2228Yigui Ou, Xin Zhou. A nonmonotone scaled conjugate gradient algorithm for large-scale unconstrained optimization
2229 -- 2239Zdenek Dostál, Lukás Pospísil. Conjugate gradients for symmetric positive semidefinite least-squares problems
2240 -- 2255Shuhuang Xiang, Bin Li, Guidong Liu. On efficient computation of highly oscillatory retarded potential integral equations
2256 -- 2268Z. P. Li, C. Xu, M. Lan, Z. Qian. A mollification method for a Cauchy problem for the Helmholtz equation
2269 -- 2286Julio B. Clempner, Alexander S. Poznyak. Using the Manhattan distance for computing the multiobjective Markov chains problem
2287 -- 2307E. Hesameddini, Mehdi Shahbazi. Hybrid Bernstein Block-Pulse functions for solving system of fractional integro-differential equations
2308 -- 2329Shafiullah Khan, M. Kamran, Obaid Ur Rehman, Lei Liu, Shiyou Yang. A modified PSO algorithm with dynamic parameters for solving complex engineering design problem
2330 -- 2342Mohd. Junaid Siddiqui, Rajan Arora, V. P. Singh. Propagation of non-linear waves in a non-ideal relaxing gas
2343 -- 2359Mohan K. Kadalbajoo, Alpesh Kumar, Lok Pati Tripathi. Radial-basis-function-based finite difference operator splitting method for pricing American options

Volume 95, Issue 10

1927 -- 1936Dongyan Li, Xingyuan Wang, Penghe Huang. A Max-Min ant colony algorithm for fractal dimension of complex networks
1937 -- 1949Suheil A. Khuri, Ali Sayfy. Numerical solution of functional differential equations: a Green's function-based iterative approach
1950 -- 1972Hamid Esmaeili, Majid Rostami, Morteza Kimiaei. Combining line search and trust-region methods for ℓ1-minimization
1973 -- 1991Mingxu Yi, Yunpeng Ma, Lifeng Wang. An efficient method based on the second kind Chebyshev wavelets for solving variable-order fractional convection diffusion equations
1992 -- 2010Abdolali Neamaty, Shahrbanoo Akbarpoor, Emrah Yilmaz. Solving inverse Sturm-Liouville problem with separated boundary conditions by using two different input data
2011 -- 2025Haixiang Zhang, Xuehua Yang. The BDF orthogonal spline collocation method for the two-dimensional evolution equation with memory
2026 -- 2035Jiandong Zhao, Lisha Wang, Zhixia Han. Stability analysis of two new SIRS models with two viruses
2036 -- 2055Chunyan Li, Qibin Fan. Multiplicative noise removal via combining total variation and wavelet frame
2056 -- 2065Ruyun Chen, Xuesong Kuang, Zhi Li. Numerical computation of infinite Bessel transforms with high frequency
2066 -- 2081Mehdi Dehghan, Mansour Safarpoor. Application of the dual reciprocity boundary integral equation approach to solve fourth-order time-fractional partial differential equations
2082 -- 2099Zhongbo Sun, Hongyang Li, Jing Wang, Yantao Tian. Two modified spectral conjugate gradient methods and their global convergence for unconstrained optimization
2100 -- 2111Gül Gözde Biçer, Yalçin Öztürk, Mustafa Gülsu. Numerical approach for solving linear Fredholm integro-differential equation with piecewise intervals by Bernoulli polynomials
2112 -- 2127Xiaofeng Wang. A family of Newton-type iterative methods using some special self-accelerating parameters
2128 -- 2142Mohammadreza Foroutan, Ali Ebadian, Raheleh Asadi. Reproducing kernel method in Hilbert spaces for solving the linear and nonlinear four-point boundary value problems

Volume 95, Issue 1

1 -- 2Qin Sheng, Yifa Tang, Bruce A. Wade, Yushun Wang. Recent trends in highly accurate and structure-preserving numerical methods for partial differential equations
3 -- 19J. E. Macías-Díaz. A modified exponential method that preserves structural properties of the solutions of the Burgers-Huxley equation
20 -- 35Hsueh-Chen Lee. Adaptive weights for mass conservation in a least-squares finite element method
36 -- 60Jialing Wang, Yushun Wang, Dong Liang. Analysis of a Fourier pseudo-spectral conservative scheme for the Klein-Gordon-Schrödinger equation
61 -- 81Zhenguo Mu, Haochen Li, Yushun Wang. A novel energy-preserving scheme for the coupled nonlinear Schrödinger equations
82 -- 97Santosh Kumar, Paramjeet Singh. High-order IMEX-WENO finite volume approximation for nonlinear age-structured population model
98 -- 113Yufeng Xu. Quenching phenomenon in a fractional diffusion equation and its numerical simulation
114 -- 143Wenjun Cai, Yajuan Sun, Yushun Wang, Huai Zhang. Local discontinuous Galerkin methods based on the multisymplectic formulation for two kinds of Hamiltonian PDEs
144 -- 158Hong-lin Liao, Pin Lyu, Seakweng Vong. Second-order BDF time approximation for Riesz space-fractional diffusion equations
159 -- 173Julius Osato Ehigie, Manman Zou, Xilin Hou, Xiong You. On modified TDRKN methods for second-order systems of differential equations
174 -- 186Lizhen Chen, Gérard Labrosse. Temporal dynamics of the march-in-time toward the steady solution of advection-diffusion systems
187 -- 201Yang Kuang, Guanghui Hu. An adaptive FEM with ITP approach for steady Schrödinger equation
202 -- 217Sadia Arshad, Weiping Bu, Jianfei Huang, Yifa Tang, Yue Zhao. Finite difference method for time-space linear and nonlinear fractional diffusion equations
218 -- 230Y. D. Zhang, Y. M. Zhao, F. L. Wang, Y.-F. Tang. High-accuracy finite element method for 2D time fractional diffusion-wave equation on anisotropic meshes
231 -- 254Jingjun Zhao, Yu Li, Yang Xu. Multiderivative extended Runge-Kutta-Nyström methods for multi-frequency oscillatory systems
255 -- 277Cui-cui Ji, Rui Du, Zhi-zhong Sun. Stability and convergence of difference schemes for multi-dimensional parabolic equations with variable coefficients and mixed derivatives