Abstract
This paper applies differential transform – Pade technique for treating non-linear singular boundary value problems arising in various physical problems of science and engineering. Comparisons are made between the results of the proposed method, and the exact solutions. The results show that the proposed method is an attractive method for solving non-linear singular boundary value problems.
Keywords: non-linear singular boundary value problems; differential transform method; differential transform – Pade approximation
Received: 2011-06-09
Accepted: 2013-05-20
Published Online: 2013-07-24
Published in Print: 2013-08-13
©[2013] by Walter de Gruyter Berlin Boston
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- Masthead
- Differential Transform – Pade Technique for Treating Non-linear Singular Boundary Value Problems Arising in the Applied Sciences
- Periodic and Solitary Wave Solutions of Complex Nonlinear Evolution Equations by Using First Integral Method
- Sylvester-tridiagonal Matrix with Alternating Main Diagonal Entries and its Spectra
- Wavelet-Galerkin Method for the Solution of Shear Wave Equation
- Topology Optimization Using Nonlinear Finite Elements and Control-point-based Parametrization
- Stagnation-point Flow of a Viscoelastic Fluid over a Lubricated Surface
- Nonlinear Air Quality Modeling Using Support Vector Machines in Gijón Urban Area (Northern Spain) at Local Scale
- Exact Solutions for Pattern Formation in a Reaction-Diffusion System
- Bifurcation Analysis and Implicit Solution of Klein-Gordon Equation with Dual-power Law Nonlinearity in Relativistic Quantum Mechanics
Schlagwörter für diesen Artikel
non-linear singular boundary value problems;
differential transform method;
differential transform – Pade approximation
Artikel in diesem Heft
- Masthead
- Differential Transform – Pade Technique for Treating Non-linear Singular Boundary Value Problems Arising in the Applied Sciences
- Periodic and Solitary Wave Solutions of Complex Nonlinear Evolution Equations by Using First Integral Method
- Sylvester-tridiagonal Matrix with Alternating Main Diagonal Entries and its Spectra
- Wavelet-Galerkin Method for the Solution of Shear Wave Equation
- Topology Optimization Using Nonlinear Finite Elements and Control-point-based Parametrization
- Stagnation-point Flow of a Viscoelastic Fluid over a Lubricated Surface
- Nonlinear Air Quality Modeling Using Support Vector Machines in Gijón Urban Area (Northern Spain) at Local Scale
- Exact Solutions for Pattern Formation in a Reaction-Diffusion System
- Bifurcation Analysis and Implicit Solution of Klein-Gordon Equation with Dual-power Law Nonlinearity in Relativistic Quantum Mechanics