Solution of partial differential equations by new double integral transform (Laplace - Sumudu transform)
Shams A. Ahmed, Tarig M. Elzaki, Mohamed Elbadri, Mohamed Z. Mohamed
Abstract
The primary purpose of this research is to demonstrate an efficient new double transform mentioned since the double Laplace - Sumudu transform (DLST) solve partial differential equations. The theorems handling fashionable properties of the double Laplace - Sumudu transform are proved, the convolution theorem with evidence is mentioned, then, via the usage of these outcomes the solution of partial differential equations is made. The results showed that the double Laplace - Sumudu transform was more efficient and useful to handle such these kinds of equations.
Topics & Concepts
Laplace transformLaplace transform applied to differential equationsMathematicsPartial differential equationConvolution (computer science)Convolution theoremMathematical analysisTwo-sided Laplace transformInverse Laplace transformLaplace–Stieltjes transformDifferential (mechanical device)Applied mathematicsFourier transformComputer scienceFractional Fourier transformMachine learningAerospace engineeringFourier analysisArtificial neural networkEngineeringFractional Differential Equations SolutionsIterative Methods for Nonlinear EquationsModel Reduction and Neural Networks