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2024 | OriginalPaper | Chapter

Solving Partial Integro Differential Equations Via Double Laplace-Formable Transform

Authors : Rania Saadeh, Laith Hamdi, Ahmad Qazza

Published in: Mathematical Analysis and Numerical Methods

Publisher: Springer Nature Singapore

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Abstract

This chapter delves into the application of the double Laplace-Formable transform (DLFT) for solving partial integro-differential equations and Volterra integral problems. It begins by introducing the basic definitions and properties of Laplace and Formable integral transforms. The core of the chapter presents the DLFT, its theorems, and applications, including the convolution theorem and derivatives properties. The author demonstrates the transform's utility through various examples, such as solving Volterra integral problems and integro-partial differential equations. The chapter concludes by highlighting the transform's effectiveness and potential in the field of mathematical problem-solving.
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previous chapter Solving Partial Integro Differential Equations Via Double ARA-Formable Transform
next chapter Particle Swarm Optimization-Based Variables Decomposition Method for Global Optimization
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Metadata
Title
Solving Partial Integro Differential Equations Via Double Laplace-Formable Transform
Authors
Rania Saadeh
Laith Hamdi
Ahmad Qazza
Copyright Year
2024
Publisher
Springer Nature Singapore
Book
Mathematical Analysis and Numerical Methods

Print ISBN: 978-981-9748-75-4

Electronic ISBN: 978-981-9748-76-1

Copyright Year: 2024

DOI
https://doi.org/10.1007/978-981-97-4876-1_18

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