Optimal Perturbation Iteration Method for Solving Fractional Model of Damped Burgers’ Equation
Sinan Deni̇z, Ali Konuralp, Manuel De la Sen
Abstract
The newly constructed optimal perturbation iteration procedure with Laplace transform is applied to obtain the new approximate semi-analytical solutions of the fractional type of damped Burgers’ equation. The classical damped Burgers’ equation is remodeled to fractional differential form via the Atangana–Baleanu fractional derivatives described with the help of the Mittag–Leffler function. To display the efficiency of the proposed optimal perturbation iteration technique, an extended example is deeply analyzed.
Topics & Concepts
Burgers' equationLaplace transformMathematicsFractional calculusPerturbation (astronomy)Applied mathematicsMathematical analysisDifferential equationPhysicsQuantum mechanicsFractional Differential Equations SolutionsNonlinear Waves and SolitonsNumerical methods in engineering