LAPLACE DECOMPOSITION METHOD FOR SOLVING THE TWO-DIMENSIONAL DIFFUSION PROBLEM IN FRACTAL HEAT TRANSFER
Hossein Jafari, Hassan Kamil Jassim, Canan Ünlü, Van Thinh Nguyen
Abstract
In this paper, the Local Fractional Laplace Decomposition Method (LFLDM) is used for solving a type of Two-Dimensional Fractional Diffusion Equation (TDFDE). In this method, first we apply the Laplace transform and its inverse to the main equation, and then the Adomian decomposition is used to obtain approximate/analytical solution. The accuracy and applicability of the LFLDM is shown through two examples. The LFLDM results are in good agreement with the exact solution of the problems.
Topics & Concepts
Laplace transformFractalDecompositionHeat transferMathematicsDiffusionMathematical analysisApplied mathematicsCalculus (dental)ThermodynamicsPhysicsChemistryDentistryMedicineOrganic chemistryFractional Differential Equations SolutionsIterative Methods for Nonlinear EquationsDifferential Equations and Numerical Methods