Abstract
In this paper, we have given numerical solutions of the elasticity problem of settled on the elastic ground with variable coefficient. Firstly, we calculate the generalized successive approxima tion of the given boundary value problem and we transform it into Pad´ e series form, which give an arbitrary order for solving differential e quation numerically. Secondly, we apply Homotopy Perturbation Method(HPM) to given boundary value problem. Then we compare HPM and the generalized successive approximation -Pad´ e Approximates method by means of numerical solution of given boundary problem. Results reveal that HPM presents more effective and accurate solution for given boundary value problem.
Keywords
Elasticity (physics)
Variable (mathematics)
Mathematics
Applied mathematics
Mathematical analysis
Mathematical optimization
Physics
Thermodynamics
Subject Areas
Fractional Differential Equations Solutions
·Modeling and Simulation ·Physical Sciences
Numerical methods in engineering
·Mechanics of Materials ·Physical Sciences
Iterative Methods for Nonlinear Equations
·Numerical Analysis ·Physical Sciences
Citations by Year
2016: 1
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