# New integral transform: Shehu transform a generalization of Sumudu and   Laplace transform for solving differential equations

**Authors:** Shehu Maitama, Weidong Zhao

arXiv: 1904.11370 · 2019-04-26

## TL;DR

This paper introduces the Shehu transform, a new integral transform generalizing Laplace and Sumudu transforms, designed to improve the solving of differential equations with increased efficiency and accuracy.

## Contribution

The Shehu transform is a novel integral transform derived from Fourier transform, providing a unified approach to solve differential equations more effectively.

## Key findings

- Successfully derived from Fourier transform
- Effective in solving ordinary differential equations
- High accuracy demonstrated in applications

## Abstract

In this paper, we introduce a Laplace-type integral transform called the Shehu transform which is a generalization of the Laplace and the Sumudu integral transforms for solving differential equations in the time domain. The proposed integral transform is successfully derived from the classical Fourier integral transform and is applied to both ordinary and partial differential equations to show its simplicity, efficiency, and the high accuracy.

## Full text

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## Figures

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## References

43 references — full list in the complete paper: https://tomesphere.com/paper/1904.11370/full.md

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Source: https://tomesphere.com/paper/1904.11370