Transform Methods for Nth Order Linear ODEs: A Comparative Evaluation of Elzaki and Laplace Approaches

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Published: Jun 30, 2025
Keywords:
Elzaki transform, Laplace transform, Differential equation, Nth-Order

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F. F. Amurawaye
Department of Mathematical Sciences, Tai Solarin University of Education, Ogun State, Nigeria.

Abstract

In this paper, we present a comparative study of the application of a relatively new integral transform similar in spirit with Laplace transform, the Elzaki transform in solving linear ODE with constant coefficients. Different problems were considered using both techniques by illustrating their respective solution method. It was revealed that the Elzaki transform is powerful and efficient in solving nth order ODE with easier simple procedures.

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How to Cite
Amurawaye, F. F. (2025). Transform Methods for Nth Order Linear ODEs: A Comparative Evaluation of Elzaki and Laplace Approaches. Journal of Science and Information Technology, 19(1), 331–338. Retrieved from http://journals.tasued.edu.ng/index.php/josit/article/view/208
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Vol. 19 No. 1 (2025): JOSIT
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Articles
Author Biography

F. F. Amurawaye, Department of Mathematical Sciences, Tai Solarin University of Education, Ogun State, Nigeria.

In this paper, we present a comparative study of the application of a relatively new integral transform similar in spirit with Laplace transform, the Elzaki transform in solving linear ODE with constant coefficients. Different problems were considered using both techniques by illustrating their respective solution method. It was revealed that the Elzaki transform is powerful and efficient in solving nth order ODE with easier simple procedures.