Solving delay differential equations via Sumudu transform | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 50، دوره 13، شماره 2، مهر 2022، صفحه 563-575 اصل مقاله (484.53 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.22682.2402 | ||
| نویسندگان | ||
| Mathew Aibinu* 1، 2؛ Surendra C. Colin3؛ Sibusiso Moyo4 | ||
| 1Institute for Systems Science & KZN e-Skills CoLab, Durban University of Technology, Durban 4000, South Africa | ||
| 2DSI-NRF Centre of Excellence in Mathematical and Statistical Sciences (CoE-MaSS), Johannesburg, South Africa | ||
| 3KZN e-Skills CoLab, Durban University of Technology, Durban 4000, South Africa | ||
| 4Institute for Systems Science \& Office of the DVC Research, Innovation \& Engagement, Milena Court, Durban University of Technology, Durban 4000, South Africa | ||
| چکیده | ||
| A new technique which is known as Sumudu Transform Method (STM) is instituted for solving delay differential equations. STM is used to obtain the solutions of general nonlinear systems. The strength of STM is illustrated in reducing the complex computational work as compared to the well-known methods. This paper shows how to succinctly identify the Lagrange multipliers for nonlinear delay differential equations with variable coefficients, using the STM. The potency and suitability of the STM are exhibited by giving expository examples. The method is used to obtain the exact and approximate solutions of pantograph type equations with variable coefficients and nonlinear Volterra integro-differential equations of pantograph type. | ||
| کلیدواژهها | ||
| Delay equations؛ Sumudu transform؛ Pantograph-type equations | ||
| مراجع | ||
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