Analytic approximate solutions for some nonlinear Parabolic dynamical wave equations
Hijaz Ahmad, Aly R. Seadawy, Tufail A. Khan, Phatiphat Thounthong
Abstract
In this paper, modified variational iteration algorithm-II is investigated for finding approximate solutions of nonlinear Parabolic equations. Comparisons of the MVIA-II with trigonometric B-spline collocation method, variational iteration method, homotopy perturbation transform method, Adomian decomposition method, and modified variational iteration method are carried out, which show that the proposed algorithm (MVIA-II) is robust one. Some nonlinear Parabolic equations are given to demonstrate the implementation and accuracy of the MVIA-II.
Topics & Concepts
Nonlinear systemMathematical analysisParabolic partial differential equationMathematicsPhysicsPartial differential equationQuantum mechanicsAdvanced Mathematical Physics ProblemsNonlinear Waves and SolitonsDifferential Equations and Numerical Methods