Search Results

• A Jacobi Collocation Method for the Fractional Ginzburg-Landau Differential Equation

  Yin Yang, Jianyong Tao, Shangyou Zhang, Petr V. Sivtsev

  2020-03-06

  DOI:10.4208/aamm.OA-2019-0070

  49711 5105 pp. 57-86

• Barycentric Interpolation Collocation Methods Based on the Crank-Nicolson Scheme for Nonlinear Parabolic Optimal Control Problems

  Rong Huang, Zhifeng Weng, Jianhua Yuan

  2026-08-01

  DOI:10.4208/aamm.OA-2024-0004

  848 94 pp. 1242-1268

• A Collocation Method for Solving Fractional Riccati Differential Equation

  Mustafa Gülsu, Yalçın Öztürk, Ayşe Anapali

  2021-07-01

  DOI:10.4208/aamm.12-m12118

  44568 4779 pp. 872-884

• Piecewise Spectral Collocation Method for Second Order Volterra Integro-Differential Equations with Nonvanishing Delay

  Zhenrong Chen, Yanping Chen, Yunqing Huang

  2022-08-08

  DOI:10.4208/aamm.OA-2021-0334

  288866 4061 pp. 1333-1356

• A Two-Constraint Method for Appropriate Determination of the Configuration of Source and Collocation Points in the Method of Fundamental Solutions for 2D Laplace Equation

  M. R. Hematiyan, A. Haghighi, A. Khosravifard

  2018-09-17

  DOI:10.4208/aamm.OA-2016-0065

  45177 3157 pp. 554-580

• Multi-Symplectic Wavelet Collocation Method for Maxwell's Equations

  Huajun Zhu, Songhe Song, Yaming Chen

  2021-07-01

  DOI:10.4208/aamm.11-m1183

  41376 4344 pp. 663-688

• Sinc Collocation Numerical Methods for Solving Two-Dimensional Gross-Pitaevskii Equations with Non-Homogeneous Dirichlet Boundary Conditions

  Shengnan Kang, Kenzu Abdella, Macro Pollanen, Shuhua Zhang, Liang Wang

  2022-08-08

  DOI:10.4208/aamm.OA-2021-0189

  292936 4222 pp. 1302-1332

• Collocation Methods for a Class of Volterra Integral Functional Equations with Multiple Proportional Delays

  Kai Zhang, Jie Li

  2012-04-01

  DOI:10.4208/aamm.10-m11147

  41282 4134 pp. 575-602

• A Boundary Mapped Collocation Method for the Analysis of the Arbitrarily Shaped Plates

  Zhentian Huang, Dong Lei, Zi Han, Heping Xie, Jianbo Zhu

  2024-12-02

  DOI:10.4208/aamm.OA-2022-0166

  14291 1208 pp. 350-372

• Convergence Analysis on Stochastic Collocation Methods for the Linear Schrödinger Equation with Random Inputs

  Zhizhang Wu, Zhongyi Huang

  2020-03-06

  DOI:10.4208/aamm.OA-2019-0008

  49571 4881 pp. 30-56

• Local Collocation Approach for Solving Turbulent Combined Forced and Natural Convection Problems

  Robert Vertnik, Božidar Šarler

  2021-01-21

  DOI:10.4208/aamm.10-10s2-01

  40959 4492 pp. 259-279

• Collocation Methods for Hyperbolic Partial Differential Equations with Singular Sources

  Jae-Hun Jung, Wai Sun Don

  2021-07-01

  DOI:10.4208/aamm.09-m09S10

  41818 4266 pp. 769-780

• A Stochastic Collocation Method for Delay Differential Equations with Random Input

  Tao Zhou

  2014-06-01

  DOI:10.4208/aamm.2012.m38

  53884 4758 pp. 403-418 Open Access

• Convergence Analysis for the Chebyshev Collocation Methods to Volterra Integral Equations with a Weakly Singular Kernel

  Xiong Liu, Yanping Chen

  2021-07-01

  DOI:10.4208/aamm.OA-2016-0049

  41838 3782 pp. 1506-1524

• Modified Moving Least Square Collocation Method for Solving Wave Equations

  Zhentian Huang, Dong Lei, Yuan Wang

  2019-01-11

  DOI:10.4208/aamm.OA-2018-0029

  44284 3027 pp. 518-534

• B-Spline Gaussian Collocation Software for Two-Dimensional Parabolic PDEs

  Zhi Li, Paul Muir

  2021-01-13

  DOI:10.4208/aamm.13-13S09

  42612 4229 pp. 528-547

• The Collocation Method and the Splitting Extrapolation for the First Kind of Boundary Integral Equations on Polygonal Regions

  Li Wang

  2012-04-01

  DOI:10.4208/aamm.10-m11159

  41104 4293 pp. 603-616

• Alternating Direction Implicit Orthogonal Spline Collocation on Non-Rectangular Regions

  Bernard Bialecki, Ryan I. Fernandes

  2021-01-13

  DOI:10.4208/aamm.13-13S05

  42588 4338 pp. 461-476

• Spectral Collocation Method for a Class of Integro-Differential Equations with Erdélyi-Kober Fractional Operator

  M. Toranj-Simin, M. Hadizadeh

  2020-01-17

  DOI:10.4208/aamm.OA-2018-0234

  56165 3340 pp. 386-406

• Spectral Collocation Methods for Second-Order Volterra Integro-Differential Equations with Weakly Singular Kernels

  Xiulian Shi, Yanping Chen, Yunqing Huang, Fenglin Huang

  2020-01-17

  DOI:10.4208/aamm.OA-2019-0056

  48743 3652 pp. 480-502

• A Hybrided Trapezoidal-Difference Scheme for Nonlinear Time-Fractional Fourth-Order Advection-Dispersion Equation Based on Chebyshev Spectral Collocation Method

  Shichao Yi, Hongguang Sun

  2019-01-04

  DOI:10.4208/aamm.OA-2018-0045

  46708 4547 pp. 197-215

• On the Numerical Solution of Logarithmic Boundary Integral Equations Arising in Laplace's Equations Based on the Meshless Local Discrete Collocation Method

  Pouria Assari, Mehdi Dehghan

  2019-06-24

  DOI:10.4208/aamm.OA-2018-0050

  44248 3323 pp. 807-837

• The Boundary Mapped Collocation Method for Heat Conduction Problems with Heat Generation Spatially Varying Conductivity

  Zhentian Huang, Dong Lei, Zi Han, Heping Xie, Jianbo Zhu

  2024-12-02

  DOI:10.4208/aamm.OA-2022-0250

  14334 1207 pp. 240-262

• Nonpolynomial Jacobi Spectral-Collocation Method for Weakly Singular Fredholm Integral Equations of the Second Kind

  Qiumei Huang, Min Wang

  2024-05-14

  DOI:10.4208/aamm.OA-2022-0341

  25547 2602 pp. 927-951

• Meshfree Methods for the Helmholtz Equation with Variable Wave Speed

  Zhiyong Liu, Qiuyan Xu

  2026-02-01

  DOI:10.4208/aamm.OA-2024-0117

  4948 442 pp. 296-321

• Solving Delay Differential Equations Through RBF Collocation

  Francisco Bernal, Gail Gutierrez

  2018-08-10

  41177 4129 pp. 257-272

• The Crank-Nicolson Hermite Cubic Orthogonal Spline Collocation Method for the Heat Equation with Nonlocal Boundary Conditions

  B. Bialecki, G. Fairweather, J. C. Lόpez-Marcos

  2021-01-13

  DOI:10.4208/aamm.13-13S03

  43216 4380 pp. 442-460