A novel integral transform for solving ordinary and partial differential equations

Afaf Nasser Yousif; Ahmed Farooq Qasim

doi:10.1117/12.2675740

10 April 2023 A novel integral transform for solving ordinary and partial differential equations

Afaf Nasser Yousif, Ahmed Farooq Qasim

Proceedings Volume 12616, International Conference on Mathematical and Statistical Physics, Computational Science, Education, and Communication (ICMSCE 2022); 126160V (2023) https://doi.org/10.1117/12.2675740
Event: International Conference on Mathematical and Statistical Physics, Computational Science, Education, and Communication (ICMSCE 2022), 2022, Istanbul, Turkey

Abstract

In this paper, a novel integral transform is proposed for solving various types from differential equations, it is based on a combination of the modified Laplace transform and the generalization of Laplace-derived transformations where we study the characteristics of this transformation and apply it to some special functions and in solving linear ordinary and partial differential equations with constant coefficients.

Citation Download Citation

Afaf Nasser Yousif and Ahmed Farooq Qasim "A novel integral transform for solving ordinary and partial differential equations", Proc. SPIE 12616, International Conference on Mathematical and Statistical Physics, Computational Science, Education, and Communication (ICMSCE 2022), 126160V (10 April 2023); https://doi.org/10.1117/12.2675740

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