Analytical Solutions for the Nonlinear Partial Differential Equations Using the Conformable Triple Laplace Transform Decomposition Method
Shailesh A. Bhanotar, Mohammed K. A. Kaabar
Abstract
In this paper, a novel analytical method for solving nonlinear partial differential equations is studied. This method is known as triple Laplace transform decomposition method. This method is generalized in the sense of conformable derivative. Important results and theorems concerning this method are discussed. A new algorithm is proposed to solve linear and nonlinear partial differential equations in three dimensions. Moreover, some examples are provided to verify the performance of the proposed algorithm. This method presents a wide applicability to solve nonlinear partial differential equations in the sense of conformable derivative.
Topics & Concepts
Conformable matrixLaplace transformMathematicsNonlinear systemLaplace transform applied to differential equationsPartial differential equationMathematical analysisDerivative (finance)Applied mathematicsEconomicsQuantum mechanicsFinancial economicsPhysicsFractional Differential Equations SolutionsNonlinear Waves and SolitonsIterative Methods for Nonlinear Equations