Solving Fourth Order Differential Equations Using Particular Solutions of Helmholtz-Type Equations

Authors

Wanru Chang, Taiyuan UniversityFollow
Ching-Shyang Chen, University of Southern MississippiFollow
Wen Li, Taiyuan UniversityFollow

Document Type

Article

Publication Date

12-1-2018

Department

Mathematics

School

Mathematics and Natural Sciences

Abstract

The availability of the closed-form particular solution for a given differential equation based on a chosen basis function is crucial for solving partial differential equations using the method of particular solutions. In general, the derivation of such a closed-form particular solution is by no means trivial, particularly for higher order partial differential equations. In this paper we give a simple algebraic procedure to avoid the direct derivation of the closed-form particular solutions for fourth order partial differential equations. One numerical example is given to demonstrate the effectiveness of our proposed approach.

Publication Title

Applied Mathematics Letters

Volume

86

First Page

179

Last Page

185

Recommended Citation

Chang, W., Chen, C., Li, W. (2018). Solving Fourth Order Differential Equations Using Particular Solutions of Helmholtz-Type Equations. Applied Mathematics Letters, 86, 179-185.
Available at: https://aquila.usm.edu/fac_pubs/16965