Solving evolution equations using a new iterative method
β Scribed by Sachin Bhalekar; Varsha Daftardar-Gejji
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 683 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0749-159X
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β¦ Synopsis
Abstract
In this article, we apply the new iterative method proposed by DaftardarβGejji and Jafari (J Math Anal Appl 316, (2006), 753β763) for solving various linear and nonlinear evolution equations. The results obtained are compared with the results by existing methods. Β© 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2010
π SIMILAR VOLUMES
TO THE MEMORY OF PASQUALE PORCELLI A successive approximation process for a class of nth order nonlinear partial differential equations on EV,, is given. Analytic solutions are found by iteration. The pairing between initial estimates and limiting functions forms a basis for the study of boundary co
We present a new iterative Chebyshev spectral method for solving the elliptic equation \(\nabla \cdot(\sigma \nabla u)=f\). We rewrite the equation in the form of a Poisson's equation \(\nabla^{2} u=(f-\nabla u \cdot \nabla \sigma) / \sigma\). In each iteration we compute the right-hand side terms f