Efficient approach for solving high order (2+1)D-differential equation

Efficient approach for solving high order (2+1)D-differential equation

This article presents an exact analysis solution for high order (2+1) dimensional differential equations by using an efficient approach based on coupled method via LA-transform with decomposition method to overcome the computational difficulties. Convergence of series solution has been discussed wit...

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Hauptverfasser: Hussein, Noor A., Tawfiq, Luma N. M.
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Sprache:eng
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Convergence
Exact solutions
Partial differential equations
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Tawfiq, Luma N. M.
description This article presents an exact analysis solution for high order (2+1) dimensional differential equations by using an efficient approach based on coupled method via LA-transform with decomposition method to overcome the computational difficulties. Convergence of series solution has been discussed with two illustrated examples, and the method has shown a high-precision, fast approach to solve non-linear (2+1) dimensional PDEs with initial condition. There is no need of any discretization of domain or assumption for a small parameter to be present in the problem. The steps of the suggested method are easily implemented. High accuracy and a rapid convergence to the exact solution compared with other methods can be used to solve types of PDEs.
doi_str_mv 10.1063/5.0093671
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M.</creator><contributor>Ali, Tammar Hussein ; Kadhem, Safaa Kareem ; Al-Mussawi, Hana Kadum ; Almurshedi, Ahmed Fadhil ; Majeed, Sadiq ; Hussain, Firas Faeq K. ; Jawad, Laith Abdul Hassan M.</contributor><creatorcontrib>Hussein, Noor A. ; Tawfiq, Luma N. M. ; Ali, Tammar Hussein ; Kadhem, Safaa Kareem ; Al-Mussawi, Hana Kadum ; Almurshedi, Ahmed Fadhil ; Majeed, Sadiq ; Hussain, Firas Faeq K. ; Jawad, Laith Abdul Hassan M.</creatorcontrib><description>This article presents an exact analysis solution for high order (2+1) dimensional differential equations by using an efficient approach based on coupled method via LA-transform with decomposition method to overcome the computational difficulties. Convergence of series solution has been discussed with two illustrated examples, and the method has shown a high-precision, fast approach to solve non-linear (2+1) dimensional PDEs with initial condition. 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subjects Convergence
Exact solutions
Partial differential equations
title Efficient approach for solving high order (2+1)D-differential equation
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