A Review on the Modified Finite Point Method

Nan-Jing Wu, Boe Shiun Chen and Ting-Kuei Tsay

Mathematical Problems in Engineering, 2014, vol. 2014, 1-29

Abstract:

The objective of this paper is to make a review on recent advancements of the modified finite point method, named MFPM hereafter. This MFPM method is developed for solving general partial differential equations. Benchmark examples of employing this method to solve Laplace, Poisson, convection-diffusion, Helmholtz, mild-slope, and extended mild-slope equations are verified and then illustrated in fluid flow problems. Application of MFPM to numerical generation of orthogonal grids, which is governed by Laplace equation, is also demonstrated.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:350364

DOI: 10.1155/2014/350364

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