A residual power series method for solving pseudo hyperbolic partial differential equations with nonlocal conditions
Mahmut Modanlı, Sadeq Taha Abdulazeez, Ahmad Muhamad Husien
Abstract
Abstract This article will give the residual power series method (RPSM) for solving pseudo hyperbolic partial differential equations with nonlocal conditions, RPSM is essentially based on general formula of Taylor series with residual error function. A new analytical solution is investigated. The analytical solution is designed to find the approximation solutions by RPSM and compare the obtained results from the current method with the exact solution that detects the precision, reliability, and rapid convergence of the proposed method. Finally at different times through the graphical representation of obtained results are given.
Topics & Concepts
ResidualMathematicsSeries (stratigraphy)Power seriesTaylor seriesConvergence (economics)Hyperbolic partial differential equationApplied mathematicsPartial differential equationReliability (semiconductor)Representation (politics)Method of mean weighted residualsPartial derivativeMathematical analysisPower (physics)AlgorithmFinite element methodEconomicsQuantum mechanicsPoliticsBiologyPolitical scienceEconomic growthPhysicsGalerkin methodLawThermodynamicsPaleontologyFractional Differential Equations SolutionsNonlinear Waves and SolitonsNumerical methods in engineering