The Comparative Study for Solving Fractional-Order Fornberg–Whitham Equation via ρ-Laplace Transform
Pongsakorn Sunthrayuth, Ahmed M. Zidan, Shao-Wen Yao, Rasool Shah
Abstract
In this article, we also introduced two well-known computational techniques for solving the time-fractional Fornberg–Whitham equations. The methods suggested are the modified form of the variational iteration and Adomian decomposition techniques by ρ-Laplace. Furthermore, an illustrative scheme is introduced to verify the accuracy of the available methods. The graphical representation of the exact and derived results is presented to show the suggested approaches reliability. The comparative solution analysis via graphs also represented the higher reliability and accuracy of the current techniques.
Topics & Concepts
Adomian decomposition methodLaplace transformReliability (semiconductor)Applied mathematicsRepresentation (politics)MathematicsDecomposition method (queueing theory)Scheme (mathematics)Current (fluid)Order (exchange)Mathematical optimizationComputer scienceMathematical analysisPartial differential equationDiscrete mathematicsPhysicsPoliticsElectrical engineeringFinanceEngineeringEconomicsQuantum mechanicsPower (physics)LawPolitical scienceFractional Differential Equations SolutionsNonlinear Waves and SolitonsIterative Methods for Nonlinear Equations