Solving delay differential equations via Sumudu transform
نویسندگان
1 KZN e-Skills CoLab, Durban University of Technology, Durban 4000, South Africa
2 Institute for Systems Science & KZN e-Skills CoLab, Durban University of Technology, Durban 4000, South Africa
3 DSI-NRF Centre of Excellence in Mathematical and Statistical Sciences (CoE-MaSS), Johannesburg, South Africa
doi
10.22075/ijnaa.2021.22682.2402چکیده
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.