Numerical treatment of singularly perturbed two-point boundary value problems by using differential transformation method

DOI10.1155/2012/579431zbMath1244.65119OpenAlexW2104945306WikidataQ58700653 ScholiaQ58700653MaRDI QIDQ444274

Vedat Suat Ertürk, Ömer Akın, Nurettin Doğan

Publication date: 14 August 2012

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/579431

Mathematics Subject Classification ID

Numerical methods for ordinary differential equations (65L99)

Related Items (5)

Boundary shape functions methods for solving the nonlinear singularly perturbed problems with Robin boundary conditions ⋮ Treatment a new approximation method and its justification for Sturm-Liouville problems ⋮ Solving second-order singularly perturbed ODE by the collocation method based on energetic Robin boundary functions. ⋮ Modified asymptotic solutions for second-order nonlinear singularly perturbed boundary value problems ⋮ Solving singularly perturbed problems by a weak-form integral equation with exponential trial functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Lie-group shooting method for solving nonlinear singularly perturbed boundary value problems
• Using reproducing kernel for solving a class of singularly perturbed problems
• B-splines with artificial viscosity for solving singularly perturbed boundary value problems
• A new analytic solution for fractional chaotic dynamical systems using the differential transform method
• The numerical solutions of differential transform method and the Laplace transform method for a system of differential equations
• Solution of singular two-point boundary value problems using differential transformation method
• Comparison of a higher order method and the simple upwind and non-monotone methods for singularly perturbed boundary value problems
• Differential transform method applied to high index differential-algebraic equations
• Least squares methods for solving singularly perturbed two-point boundary value problems using Bézier control points
• Initial value technique for singularly perturbed two point boundary value problems using an exponentially fitted finite difference scheme
• Numerical solution of singularly perturbed two-point boundary value problems by spline in tension
• A family of nonuniform mesh tension spline methods for singularly perturbed two-point singular boundary value problems with significant first derivatives
• Comparing numerical methods for solving fourth-order boundary value problems
• A new algorithm for calculating one-dimensional differential transform of nonlinear functions
• A class of variable mesh spline in compression methods for singularly perturbed two point singular boundary value problems
• A Decomposition Methodology and a Class of Algorithms for the Solution of Nonlinear Equations

This page was built for publication: Numerical treatment of singularly perturbed two-point boundary value problems by using differential transformation method