Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8053323 | Applied Mathematics Letters | 2018 | 9 Pages |
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.
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Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Wanru Chang, C.S. Chen, Wen Li,