A smooth approximation based on exponential spline solutions for nonlinear fourth order two point boundary value problems

DOI10.1016/j.amc.2011.03.043zbMath1218.65075OpenAlexW2077828781MaRDI QIDQ546001

Waheed K. Zahra

Publication date: 24 June 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.03.043

zbMATH Keywords

convergencenumerical exampleserror boundtwo-point boundary value problemfinite differencequintic splineexponential spline

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Linear boundary value problems for ordinary differential equations (34B05) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (7)

Exponential spline approach for the solution of nonlinear fourth-order boundary value problems ⋮ A class of multi-step difference schemes by using Padé approximant ⋮ Exponentially fitted methods for solving two-dimensional time fractional damped Klein-Gordon equation with nonlinear source term ⋮ Geometric mesh three-point discretization for fourth-order nonlinear singular differential equations in polar system ⋮ Exponentially fitted methods for solving time fractional nonlinear reaction-diffusion equation ⋮ Computational approach for fourth-order self-adjoint singularly perturbed boundary value problems via non-polynomial quintic spline ⋮ Exponential spline solution of boundary value problems occurring in the plate deflection theory

Cites Work

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• Quintic nonpolynomial spline solutions for fourth order two-point boundary value problem
• Closed Newton-Cotes trigonometrically-fitted formulae of high order for long-time integration of orbital problems
• Solution of the system of fourth-order boundary value problems using non-polynomial spline technique
• Polynomial and nonpolynomial spline approaches to the numerical solution of second order boundary value problems
• Exponentially and trigonometrically fitted methods for the solution of the Schrödinger equation
• A family of trigonometrically fitted partitioned Runge-Kutta symplectic methods
• High order closed Newton-Cotes trigonometrically-fitted formulae for the numerical solution of the Schrödinger equation
• A new Numerov-type method for the numerical solution of the Schrödinger equation
• Finite difference methods for a certain two point boundary value problem
• Smooth spline approximations for the solution of a boundary value problem with engineering applications
• Smooth spline solutions for boundary value problems in plate deflection theory
• The use of quartic splines in the numerical solution of a fourth-order boundary value problem
• A smooth approximation for the solution of a fourth-order boundary value problem based on nonpolynomial splines
• Quartic spline method for solving fourth order obstacle boundary value problems
• Two-step high order hybrid explicit method for the numerical solution of the Schrödinger equation
• A class of methods based on non-polynomial spline functions for the solution of a special fourth-order boundary-value problems with engineering applications
• Cubic splines method for solving fourth-order obstacle problems
• Convergence of numerical solution of a fourth-order boundary value problem
• Nonpolynomial spline approach to the solution of a system of third-order boundary-value problems
• A class of methods based on a septic non-polynomial spline function for the solution of sixth-order two-point boundary value problems
• Solving Boundary Value Problems in Plate Deflection Theory
• Linear Multistep Methods for the Efficient Integration of the Schrödinger Equation

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