El‑Kalla, I., Mohamed, E., El‑Saka, H. (2021). An accelerated solution for some classes of nonlinear partial diferential equations. test, 29(1), 1-11. doi: 10.1186/s42787-021-00116-9
I. L. El‑Kalla; E. M. Mohamed; H. A. A. El‑Saka. "An accelerated solution for some classes of nonlinear partial diferential equations". test, 29, 1, 2021, 1-11. doi: 10.1186/s42787-021-00116-9
El‑Kalla, I., Mohamed, E., El‑Saka, H. (2021). 'An accelerated solution for some classes of nonlinear partial diferential equations', test, 29(1), pp. 1-11. doi: 10.1186/s42787-021-00116-9
El‑Kalla, I., Mohamed, E., El‑Saka, H. An accelerated solution for some classes of nonlinear partial diferential equations. test, 2021; 29(1): 1-11. doi: 10.1186/s42787-021-00116-9

An accelerated solution for some classes of nonlinear partial diferential equations

Journal of the Egyptian Mathematical Society
Volume 29, Issue 1, 2021, Pages 1-11    PDF (1.64 M)
Document Type: Original Article
DOI: 10.1186/s42787-021-00116-9
Authors
I. L. El‑Kalla1; E. M. Mohamed* 2; H. A. A. El‑Saka2
1Physics and Engineering Mathematics Department, Faculty of Engineering, Mansoura University, Mansoura, Egypt.
2Mathematics Department, Faculty of Science, Damietta University, New Damietta, Egypt.
Abstract
In this paper, we apply an accelerated version of the Adomian decomposition method
for solving a class of nonlinear partial diferential equations. This version is a smart
recursive technique in which no diferentiation for computing the Adomian polynomi‑
als is needed. Convergence analysis of this version is discussed, and the error of the
series solution is estimated. Some numerical examples were solved, and the numerical
results illustrate the efectiveness of this version.
Keywords
Adomian decomposition method; Adomian polynomials; Nonlinear partial diferential equations
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