Application of the Double Sumudu-Generalized Laplace Transform Decomposition Method to Solve Singular Pseudo-Hyperbolic Equations

In this study, the technique established by the double Sumudu transform in combination with a new generalized Laplace transform decomposition method, which is called the double Sumudu-generalized Laplace transform decomposition method, is applied to solve general two-dimensional singular pseudo-hype...

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Bibliographic Details
Published inSymmetry (Basel) Vol. 15; no. 9; p. 1706
Main Author Eltayeb, Hassan
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.09.2023
Subjects
Decomposition
Differential equations
Initial conditions
Laplace transforms
Mathematical analysis
Mathematical functions
Methods
Nonlinear differential equations
Partial differential equations
Theorems
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Summary:In this study, the technique established by the double Sumudu transform in combination with a new generalized Laplace transform decomposition method, which is called the double Sumudu-generalized Laplace transform decomposition method, is applied to solve general two-dimensional singular pseudo-hyperbolic equations subject to the initial conditions. The applicability of the proposed method is analyzed through demonstrative examples. The results obtained show that the procedure is easy to carry out and precise when employed for different linear and non-linear partial differential equations.
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ISSN:2073-8994
2073-8994
DOI:10.3390/sym15091706