High order accuracy nonpolynomial spline solutions for \(2\mu \)th order two point boundary value problems
From MaRDI portal
Publication:2518675
DOI10.1016/j.amc.2008.07.038zbMath1157.65429OpenAlexW2036192383MaRDI QIDQ2518675
I. F. Lashien, Mohamed A. Ramadan, Waheed K. Zahra
Publication date: 16 January 2009
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2008.07.038
convergencenumerical examplessecond ordereven ordertwo point boundary value problemquintic nonpolynomial splinefourth and sixth order
Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)
Related Items
Two-point boundary value problems associated to functional differential equations of even order solved by iterated splines, Integrals of Bernstein polynomials: an application for the solution of high even-order differential equations, A higher order numerical scheme for solving fractional Bagley‐Torvik equation, TAGE iterative algorithm and nonpolynomial spline basis for the solution of nonlinear singular second order ordinary differential equations, Fractal non-polynomial spline method for the solution of fourth-order boundary value problems in plate deflection theory, Numerical treatment of boundary value problems by solving a system of second kind Fredholm integral equations, Unification of the Bernstein-type polynomials and their applications, Numerical treatment of sth order boundary value problems by solving second kind Fredholm integral equations, On the derivatives of Bernstein polynomials: an application for the solution of high even-order differential equations, A rational approximation based on Bernstein polynomials for high order initial and boundary values problems, A Nyström method for solving 2sth order boundary value problems, Tenth order boundary value problem solution existence by fixed point theorem, Fractal quintic spline solutions for fourth-order boundary-value problems
Cites Work
- Unnamed Item
- Quintic nonpolynomial spline solutions for fourth order two-point boundary value problem
- 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
- Solution of sixth order boundary value problems using non-polynomial spline technique
- 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 note on application of cubic splines to two point boundary value problems
- A smooth approximation for the solution of a fourth-order boundary value problem based on nonpolynomial splines
- Spline solutions of linear eighth-order boundary-value problems
- Quartic spline method for solving fourth order obstacle boundary value problems
- B-spline interpolation compared with finite difference, finite element and finite volume methods which applied to two-point boundary value problems
- Cubic splines method for solving fourth-order obstacle problems
- Convergence of numerical solution of a fourth-order boundary value problem
- Quadratic non-polynomial spline approach to the solution of a system of second-order boundary-value problems
- Spline solutions of linear sixth-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
- Spline function methods for nonlinear boundary-value problems
- Cubic spline solutions to two-point boundary value problems
- The use of cubic splines in the numerical solution of a system of second-order boundary value problems
