A Third (Four) Order Accurate, Nine-Point Compact Scheme for Mildly-Nonlinear Elliptic Equations in Two Space Variables-Reference-Cited by-同舟云学术

A Third (Four) Order Accurate, Nine-Point Compact Scheme for Mildly-Nonlinear Elliptic Equations in Two Space Variables

Published:2015-11-04 Issue:2 Volume:25 Page:223-237
ISSN:0971-3514
Container-title:Differential Equations and Dynamical Systems
language:en
Short-container-title:Differ Equ Dyn Syst

Author:

Jha Navnit,Kumar Neelesh,Sharma Kapil K.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Link

http://link.springer.com/content/pdf/10.1007/s12591-015-0263-9.pdf

Reference39 articles.

1. Wang, Y., Guo, B., Wu, W.: Fourth order compact finite difference methods and monotone iterative algorithms for semilinear elliptic boundary value problems. Comput. Math. Appl. 68, 1671–1688 (2014)

2. Chen, W., Zhang, J.Y., Fu, Z.J.: Singular boundary method for modified Helmholtz equations. Eng. Anal. Bound. Elem. 44, 112–119 (2014)

3. Fu, Y.: Compact fourth-order finite difference schemes for Helmholtz equation with high wave numbers. J. Comput. Math. 26, 98–111 (2008)

4. Zhao, J., Zhang, T., Corless, R.M.: Convergence of the compact finite difference method for second-order elliptic equations. Appl. Math. Comput. 182, 1454–1469 (2006)

5. Ito, K., Qiao, Z.: A high order compact MAC finite difference scheme for the Stokes equations: augmented variable approach. J. Comput. Phys. 227, 8177–8190 (2008)

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. GAUSSIAN-RBF INTERPOLANT AND THIRD-ORDER COMPACT DISCRETIZATION OF 2D ANOMALOUS DIFFUSION-CONVECTION MODEL ON A MESH-MAPPED NON-UNIFORM GRID NETWORK;Journal of Mathematical Sciences;2024-04

2. A High-Resolution Convergent Radial Basis Functions Compact-FDD for Boundary Layer Problems on a Scattered Mesh Network Appearing in Viscous Elastic Fluid;International Journal of Applied and Computational Mathematics;2022-08-30

3. Method of approximations for the convection-dominated anomalous diffusion equation in a rectangular plate using high-resolution compact discretization;MethodsX;2022

4. A Third-Order Accurate Finite Difference Method and Compact Operator Approach for Mildly Nonlinear Two Spatial Dimensions Elliptic BVPs with Integral Form of Source Term;Advances in Intelligent Systems and Computing;2018-10-31

5. A fourth-order accurate quasi-variable mesh compact finite-difference scheme for two-space dimensional convection-diffusion problems;Advances in Difference Equations;2017-02-27