Name
Title | ||
|---|---|---|
Legendre wavelet Galerkin method for solving ordinary differential equations with non-analytic solution |
Abstract | ||
|---|---|---|
In this article, the Legendre wavelet operational matrix of integration is used to solve boundary ordinary differential equations with non-analytic solution. Although the standard Galerkin method using Legendre polynomials does not work well for solving ordinary differential equations in which at least one of the coefficient functions or solution function is not analytic, it is shown that the Legendre wavelet Galerkin method is very efficient and suitable for solving this kind of problems. Several numerical examples are given to illustrate the efficiency and performance of the presented method. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1080/00207721003658194 | Int. J. Systems Science |
Keywords | Field | DocType |
legendre polynomial,legendre wavelet galerkin method,non-analytic solution,boundary ordinary differential equation,legendre wavelet operational matrix,solution function,coefficient function,numerical example,standard galerkin method,ordinary differential equation,analytic solution,analytic function,ordinary differential equations,galerkin method,orthogonal polynomial | Legendre's constant,Legendre's equation,Mathematical optimization,Mathematical analysis,Legendre wavelet,Legendre polynomials,Associated Legendre polynomials,Legendre pseudospectral method,Mathematics,Legendre function,Spectral element method | Journal |
Volume | Issue | ISSN |
42 | 4 | 0020-7721 |
Citations | PageRank | References |
6 | 0.67 | 13 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| F. Mohammadi | 1 | 61 | 6.75 |
| M. M. Hosseini | 2 | 29 | 6.43 |
| Syed Tauseef Mohyud-Din | 3 | 87 | 18.50 |