An efficient tool for solving two‐dimensional fuzzy fractional‐ordered heat equation
Muhammad Arfan, Kamal Shah, Thabet Abdeljawad, Zakia Hammouch
Abstract
Abstract In this work we develop an algorithm to compute analytical solution for a two‐dimensional fuzzy heat equation involving external source term with fractional order. The algorithm is based on the Homotopy perturbation method: The required result is computed in series form which is rapidly convergent to the exact solution. Examples are given to verify the result, which are compared with the exact solution to illustrate the efficiency and the capability of the proposed method.
Topics & Concepts
MathematicsHomotopy perturbation methodConvergent seriesFuzzy logicHomotopy analysis methodHeat equationApplied mathematicsWork (physics)Series (stratigraphy)Exact solutions in general relativityPerturbation (astronomy)Mathematical optimizationHomotopyMathematical analysisComputer sciencePure mathematicsEngineeringQuantum mechanicsMechanical engineeringBiologyPaleontologyPower seriesPhysicsArtificial intelligenceFractional Differential Equations SolutionsFuzzy Systems and OptimizationIterative Methods for Nonlinear Equations