Direct numerical method for solving a class of fourth-order partial differential equation
In this paper, we classified a class of fourth-order partial differential equations (PDEs) to be fourth-order PDE of type I, II, III and IV. The PDE of type IV is solved by using an efficient numerical method. The PDE is first transformed to a system of fourth-order ordinary differential equations (...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Research India Publications
2016
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/55534/1/Direct%20numerical%20method%20for%20solving%20a%20class%20of%20fourth-order%20partial%20differential%20equation.pdf http://psasir.upm.edu.my/id/eprint/55534/ https://www.ripublication.com/gjpam16/gjpamv12n2_07.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | In this paper, we classified a class of fourth-order partial differential equations (PDEs) to be fourth-order PDE of type I, II, III and IV. The PDE of type IV is solved by using an efficient numerical method. The PDE is first transformed to a system of fourth-order ordinary differential equations (ODEs) using the method of lines, then the resulting system of fourth-order ODEs is solved using direct Runge-Kutta method (RKFD). The RKFD method is constructed purposely for solving special fourth-order ODEs. Numerical results demonstrated that the RKFD method is in good agreement with the exact solutions. |
|---|