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Some notes on using the homotopy perturbation method for solving time-dependent differential equations

✍ Scribed by E. Babolian; A. Azizi; J. Saeidian

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
566 KB
Volume
50
Category
Article
ISSN
0895-7177

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πŸ“œ SIMILAR VOLUMES

Exact solutions of some coupled nonlinea
Exact solutions of some coupled nonlinear partial differential equations using the homotopy perturbation method
✍ N.H. Sweilam; M.M. Khader πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 696 KB

The purpose of this study is to introduce a modification of the homotopy perturbation method using Laplace transform and PadΓ© approximation to obtain closed form solutions of nonlinear coupled systems of partial differential equations. Two test examples are given; the coupled nonlinear system of Bur

Comparison between the homotopy perturba
Comparison between the homotopy perturbation method and the sine–cosine wavelet method for solving linear integro-differential equations
✍ M. Tavassoli Kajani; M. Ghasemi; E. Babolian πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 191 KB

This paper compares the homotopy perturbation method with the sine-cosine wavelet method for solving linear integrodifferential equations. From the computational viewpoint, the homotopy perturbation method is more efficient and easier than the sine-cosine wavelet method.

A Chebyshev expansion method for solving
A Chebyshev expansion method for solving the time-dependent partial differential equations
✍ Elbarbary, Elsayed M. E. πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 242 KB

## Abstract A Chebyshev expansion method for the parabolic and Burgers equations is developed. The spatial derivatives are approximated by the Chebyshev polynomials and the time derivative is treated by a finite‐difference scheme. The accuracy of the resultant is modified by using suitable extrapol