An accurate three spatial grid-point discretization of O(k2+h4) for the numerical solution of one-space dimensional unsteady quasi-linear biharmonic problem of second kind-Reference-Cited by-同舟云学术

An accurate three spatial grid-point discretization of O(k2+h4) for the numerical solution of one-space dimensional unsteady quasi-linear biharmonic problem of second kind

Published:2003-07 Issue:1 Volume:140 Page:1-14
ISSN:0096-3003
Container-title:Applied Mathematics and Computation
language:en
Short-container-title:Applied Mathematics and Computation

Author:

Mohanty R.K.

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference6 articles.

1. Computational methods in partial differential equations;Mitchell,1969

2. Single cell discretization of order two and four for biharmonic problems;Stephenson;J. Comput. Phys.,1984

3. R.K. Mohanty, D.J. Evans, High accuracy difference formulae for a fourth order quasi-linear parabolic initial boundary value problem of first kind, Int. J. Comput. Math., in press

4. Applied Iterative Methods;Hageman,1981

5. Block iterative methods for one dimensional non-linear biharmonic problems on a parallel computer;Mohanty;Parallel Algorithms Appl.,1999

Cited by 7 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. A new high-resolution two-level implicit method based on non-polynomial spline in tension approximations for time-dependent quasi-linear biharmonic equations with engineering applications;Engineering with Computers;2020-01-14

2. A new two-level implicit scheme based on cubic spline approximations for the 1D time-dependent quasilinear biharmonic problems;Engineering with Computers;2019-05-29

3. A new two-level implicit scheme of order two in time and four in space based on half-step spline in compression approximations for unsteady 1D quasi-linear biharmonic equations;Advances in Difference Equations;2018-10-20

4. Compact Difference Scheme with High Accuracy for One-Dimensional Unsteady Quasi-Linear Biharmonic Problem of Second Kind: Application to Physical Problems;Numerical Analysis and Applications;2018-01

5. A class of two-level implicit unconditionally stable methods for a fourth order parabolic equation;Applied Mathematics and Computation;2017-09