NUMERICAL SOLUTION OF TRAVELING WAVES IN CHEMICAL KINETICS: TIME-FRACTIONAL FISHERS EQUATIONS
Fuzhang Wang, Muhammad Nawaz Khan, Imtiaz Ahmad, Hijaz Ahmad, Hanaa Abu-Zinadah, Yu‐Ming Chu
Abstract
This paper addresses the numerical solution of nonlinear time-fractional Fisher equations via local meshless method combined with explicit difference scheme. This procedure uses radial basis functions to compute space derivatives while Caputo derivative scheme utilizes for time-fractional integration to semi-discretize the model equations. To assess the accuracy, maximum error norm is used. In order to validate the proposed method, some non-rectangular domains are also considered.
Topics & Concepts
DiscretizationFractional calculusNonlinear systemMathematicsNorm (philosophy)Applied mathematicsTime derivativeMathematical analysisSpacetimeFinite difference schemeTraveling waveScheme (mathematics)Space timeMathematical optimizationPhysicsQuantum mechanicsLawEngineeringChemical engineeringPolitical scienceFractional Differential Equations SolutionsDifferential Equations and Numerical MethodsIterative Methods for Nonlinear Equations