Solving Singular Boundary Value Problems by Optimal Homotopy Asymptotic Method
Copyright policy )Solving Singular Boundary Value Problems by Optimal Homotopy Asymptotic Method
In this paper, optimal homotopy asymptotic method (OHAM) for the semianalytic solutions of nonlinear singular two-point boundary value problems has been applied to several problems. The solutions obtained by OHAM have been compared with the solutions of another method named as modified adomain decomposition (MADM). For testing the success of OHAM, both of the techniques have been analyzed against the exact solutions in all problems. It is proved by this paper that solutions of OHAM converge rapidly to the exact solution and show most effectiveness as compared to MADM.
- Islamia College University Pakistan
- Abdul Wali Khan University Mardan Pakistan
Symplectic Methods, Geometry, Mathematical analysis, Convergence Analysis of Iterative Methods for Nonlinear Equations, Higher-Order Methods, Point (geometry), Numerical Integration Methods for Differential Equations, QA1-939, FOS: Mathematics, Boundary value problem, Anomalous Diffusion Modeling and Analysis, Theoretical approximation of solutions to ordinary differential equations, Numerical Analysis, singular two-point boundary value problems, Singular nonlinear boundary value problems for ordinary differential equations, Mathematical optimization, Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc., Pure mathematics, Applied mathematics, Adomian decomposition, Modeling and Simulation, Physical Sciences, Homotopy Analysis Method, Homotopy, Mathematics
Symplectic Methods, Geometry, Mathematical analysis, Convergence Analysis of Iterative Methods for Nonlinear Equations, Higher-Order Methods, Point (geometry), Numerical Integration Methods for Differential Equations, QA1-939, FOS: Mathematics, Boundary value problem, Anomalous Diffusion Modeling and Analysis, Theoretical approximation of solutions to ordinary differential equations, Numerical Analysis, singular two-point boundary value problems, Singular nonlinear boundary value problems for ordinary differential equations, Mathematical optimization, Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc., Pure mathematics, Applied mathematics, Adomian decomposition, Modeling and Simulation, Physical Sciences, Homotopy Analysis Method, Homotopy, Mathematics
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