Approximate solutions of random ordinary differential models using modified Sumudu transform

Kaled, Ayman; Altaie, Huda Omran

doi:10.47974/JIM-2544

Open Access Research Article

Approximate solutions of random ordinary differential models using modified Sumudu transform

^*Ayman KaledCorresponding authorayman.saleh2303@ihcoedu.uobaghdad.edu.iqDepartment of MathematicsCollege of Education for Pure Science (Ibn Al-Haitham)University of BaghdadBaghdad, 10071, IraqView full profile → , Huda Omran Altaiehuda.h.o@ihcoedu.uobaghdad.edu.iqDepartment of MathematicsCollege of Education for Pure Science (Ibn Al-Haitham)University of BaghdadBaghdad, 10071, IraqView full profile →

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pp. 1531–1535Vol. 29Issue 5-BMay 2026DOI: 10.47974/JIM-2544XML

Received:: 01 Nov 2025
Published Online:: 27 Jun 2026
Article type:: Research Article
Language:: EN
Article no.:: JIM-2544
Pages:: 1531–1535

Abstract

An efficient combination of ADM and the Sumudu transformation for solving random ordinary differential equations (RODEs) is introduced as a novel tool to obtain an accurate analytical solution. It is an elegant combination of ST-ADM. The suggested method will convert differential equations into iterative algebraic equations, thereby reducing computational and analytical effort. The technique solves the problem of calculating the Adomian polynomials. The method’s efficiency was investigated using several numerical examples, and the findings demonstrate that it is easier to use than many other numerical methods. It has also been established that (STADM) is a trustworthy technique for solving differential equations. Using the Mathematica 13.3 program. Applications are presented as examples of how the proposed technique can be used to obtain analytical or numerical solutions to certain kinds of Random Differential Equations (RODEs), thereby demonstrating its efficacy and potential.

Keywords

Sumudu transform Analytical technique Random differential equation Ordinary differential equation

Subject Classifications

35R1135R60

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