An Optimized Decomposition Method for Solving the Fractional-Order Burger’s Equation
Keywords:
Burger’s equation, fractional calculus, Caputo derivative, optimized decomposition method, nonlinear partial differential equations.Abstract
In this study, the optimized decomposition method (ODM) is employed to investigate nonlinear fractional partial differential equations. Specifically, the method is applied to construct approximate analytical solutions of the fractional nonlinear Burgers’ equation (FBE), with the fractional derivatives defined in the Caputo sense. A comparative analysis is carried out with the Sumudu variational iteration method (SVIM). The numerical simulations demonstrate the robustness and efficiency of the proposed method, confirming its ease of implementation, reliability, and capability in capturing the essential dynamical behavior of the system.
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