Resolution of system of Volterra integral equations of the first kind by derivation technique and modified decomposition methods
| Autor: | H. O. Bakodah, M. Al-Mazmumy, M. A. Alzhrani |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
integral equations
volterra integral equations Resolution (electron density) 65r20 leibnitz’s derivation technique Volterra integral equation QA273-280 symbols.namesake QA1-939 symbols Decomposition (computer science) 45g10 Applied mathematics adomian decomposition method 41a30 45d05 65l80 Probabilities. Mathematical statistics General Economics Econometrics and Finance Mathematics |
| Zdroj: | Journal of Applied Mathematics, Statistics and Informatics, Vol 16, Iss 2, Pp 23-38 (2020) |
| ISSN: | 1339-0015 |
| DOI: | 10.2478/jamsi-2020-0007 |
| Popis: | A solution method for various systems of integral equations of the first kind is presented in this paper. The method starts off by transforming the systems via the application of the Leibnitz’s derivation technique and then employs three different decomposition methods based on the Standard Adomian decomposition method (SADM) for solutions. To demonstrate the efficiency of the proposed method, some illustrative examples are considered and the obtained results indicate that the approach is indeed of practical interest. |
| Databáze: | OpenAIRE |
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