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Zbl 1194.65117
Bhalekar, Sachin; Daftardar-Gejji, Varsha
Solving evolution equations using a new iterative method.
(English)
[J] Numer. Methods Partial Differ. Equations 26, No. 4, 906-916 (2010). ISSN 0749-159X; ISSN 1098-2426/e

Summary: We apply the new iterative method proposed by {\it V. Daftardar-Gejji} and {\it H. Jafari} [J. Math. Anal. Appl. 316, No.~2, 753--763 (2006; Zbl 1087.65055)] for solving various linear and nonlinear evolution equations. The results obtained are compared with the results by existing methods.
MSC 2000:
*65M70 Spectral, collocation and related methods (IVP of PDE)

Keywords: new iterative method; nonlinear evolution equation; Adomian decomposition method

Citations: Zbl 1087.65055

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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