New Numerical Approach of Solving Highly Nonlinear Fractional Partial Differential Equations via Fractional Novel Analytical Method
Mariam Sultana, Uroosa Arshad, Abdel‐Haleem Abdel‐Aty, Ali Akgül, Mona Mahmoud, Hichem Eleuch
Abstract
In this work, the fractional novel analytic method (FNAM) is successfully implemented on some well-known, strongly nonlinear fractional partial differential equations (NFPDEs), and the results show the approach’s efficiency. The main purpose is to show the method’s strength on FPDEs by minimizing the calculation effort. The novel numerical approach has shown to be the simplest technique for obtaining the numerical solution to any form of the fractional partial differential equation (FPDE).
Topics & Concepts
Nonlinear systemPartial differential equationFractional calculusMathematicsApplied mathematicsWork (physics)Numerical partial differential equationsMathematical analysisNumerical analysisPhysicsThermodynamicsQuantum mechanicsFractional Differential Equations SolutionsIterative Methods for Nonlinear EquationsNonlinear Waves and Solitons