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Combining Laplace transform and Adomian decomposition method for solving singular IVPs of Emden-Fowler of partial differential equations | ||
| AL-Rafidain Journal of Computer Sciences and Mathematics | ||
| Volume 17, Issue 2, December 2023, Pages 79-92 PDF (576.74 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.33899/csmj.2023.181634 | ||
| Authors | ||
| Waleed Al-Hayani* ; Fatima M. Yassin | ||
| College of Computer Science and Mathematics / Mosul University | ||
| Abstract | ||
| In this paper, the time-dependent Emden-Fowler type partial differential equations and wave-type equations with singular behavior at are analytically solved using the combined Laplace transform and Adomain decomposition method (LT-ADM). To avoid the singularity behavior for both models at , the benefit of this single global technique is used to present a solid framework. The method is shown to produce approximate-exact solutions to various kinds of problems in One-dimensional space. The results gained in each case demonstrate the dependability and effectiveness of this approach. To show the high accuracy of the approximate solution results (LT-ADM), compare the absolute errors obtained by the Padé approximation (PA) of order compared with the exact solution. | ||
| Keywords | ||
| Emden-Fowler equation; Wave-type equation; Laplace Transform method; Adomian Decomposition Method; Adomian Polynomials | ||
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