Solving Nonlinear Boundary Value Problems Using He's Polynomials and Padé Approximants

Syed Tauseef Mohyud‐Din; Ahmet Yıldırım

doi:10.60692/nktgw-m4061

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Solving Nonlinear Boundary Value Problems Using He's Polynomials and Padé Approximants

Syed Tauseef Mohyud‐Din Ahmet Yıldırım

Year: 2009 Journal: Greater South Information System

DOI: 10.60692/nktgw-m4061

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Abstract

We apply He′s polynomials coupled with the diagonal Padé approximants for solving various singular and nonsingular boundary value problems which arise in engineering and applied sciences. The diagonal Padé approximants prove to be very useful for the understanding of physical behavior of the solution. Numerical results reveal the complete reliability of the proposed combination.

Keywords:

Diagonal Boundary value problem Invertible matrix Nonlinear system Orthogonal polynomials Boundary (topology) Numerical analysis

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Fractional Differential Equations Solutions

Physical Sciences → Mathematics → Modeling and Simulation

Nonlinear Waves and Solitons

Physical Sciences → Physics and Astronomy → Statistical and Nonlinear Physics

Numerical methods for differential equations

Physical Sciences → Mathematics → Numerical Analysis

Solving Nonlinear Boundary Value Problems Using He's Polynomials and Padé Approximants

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