The generalized successive approximation and Padé approximants method for solving an elasticity problem of based on the elastic ground with variable coefficients

Abstract

In this study, we have applied a generalized successive numerical technique to solve the elasticity problem of based on the elastic ground with variable coefficient. In the first stage, we have calculated the generalized successive approximation of being given BVP and in the second stage we have transformed it into Padé series. At the end of study a test problem has been given to clarify the method.

Keywords

• The generalized successive approximation method,Integral Equations,BVPs

References

1. E. Celik and M. Bayram, On the Numerical Solution of Differential-Algebraic Equation by Padé Series, Applied Mathematics and Computation, 137(2003) 151-160.
2. E. Celik, E. Karaduman and M. Bayram, A Numerical Method to Solve Chemical Differential-Algebraic Equations, International Journal of Quantum Chemistry, 89(2002) 447-451.
3. A. Aykut, E. Celik,and M. Bayram, The Ordinary Successive Approximations Method and Padé Approximants for Solving a Differential Equation with Variant Retarded Argument, Applied Mathematics and Computation, 2002, AMC 7569.
4. E. Celik, A. Aykut and M. Bayram, The Modified Two-Sided Approximations Method and Padé Approximants for Solving a Differential Equation with Variant Retarded Argument, Applied Mathematics and Computation, 2002, AMC 7566.
5. Francis B. Hildebrand. Methods of applied Mathematics (second edition), prentice-Hall, inc., New Jersey. 1965.
6. E. Celik and M. Bayram, The basic successive substitute approximations Method and Padé Approximantions to solve the elasticity problem of settled of the wronkler ground with variable coefficients, Applied Mathematics and Computation, 154(2004) 495-505.