Quintic nonpolynomial spline solutions for fourth order two-point boundary value problem
From MaRDI portal
Publication:716633
DOI10.1016/j.cnsns.2007.12.008zbMath1221.65180OpenAlexW1979498295MaRDI QIDQ716633
I. F. Lashien, Waheed K. Zahra, Mohamed A. Ramadan
Publication date: 30 September 2011
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2007.12.008
Related Items (26)
New ultraspherical wavelets collocation method for solving \(2\)nth-order initial and boundary value problems ⋮ Positive solutions of a singular semipositone boundary value problems for fourth-order coupled difference equations ⋮ Solution of Initial and Boundary Value Problems by an Effective Accurate Method ⋮ Quartic non-polynomial spline solution for solving two-point boundary value problems by using conjugate gradient iterative method ⋮ Positive solutions of a singular positone and semipositone boundary value problems for fourth-order difference equations ⋮ Collocation approach based on an extended cubic \(B\)-spline for a second-order Volterra partial integrodifferential equation ⋮ Non-polynomial quintic spline for numerical solution of fourth-order time fractional partial differential equations ⋮ A class of methods based on a septic non-polynomial spline function for the solution of sixth-order two-point boundary value problems ⋮ Non-polynomial sextic spline approach for the solution of fourth-order boundary value problems ⋮ Fractal non-polynomial spline method for the solution of fourth-order boundary value problems in plate deflection theory ⋮ Non-polynomial cubic spline discretization for system of non-linear singular boundary value problems using variable mesh ⋮ Non-polynomial quintic spline for solving fourth-order fractional boundary value problems involving product terms ⋮ A smooth approximation based on exponential spline solutions for nonlinear fourth order two point boundary value problems ⋮ A rational approximation based on Bernstein polynomials for high order initial and boundary values problems ⋮ Non-polynomial spline method for solving Bratu's problem ⋮ Numerical studies on a novel split-step quadratic B-spline finite element method for the coupled Schrödinger-KdV equations ⋮ Convergence analysis of nonic-spline solutions for special nonlinear sixth-order boundary value problems ⋮ A new generalized Jacobi Galerkin operational matrix of derivatives: two algorithms for solving fourth-order boundary value problems ⋮ High order accuracy nonpolynomial spline solutions for \(2\mu \)th order two point boundary value problems ⋮ Lidstone-Euler interpolation and related high even order boundary value problem ⋮ An elegant operational matrix based on harmonic numbers: Effective solutions for linear and nonlinear fourth-order two point boundary value problems ⋮ Exponential spline solution of boundary value problems occurring in the plate deflection theory ⋮ Variable mesh polynomial spline discretization for solving higher order nonlinear singular boundary value problems ⋮ Unnamed Item ⋮ Fractal quintic spline solutions for fourth-order boundary-value problems ⋮ Study of fourth-order boundary value problem based on Volterra–Fredholm equation: numerical treatment
Cites Work
- 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
- Numerical solution of fourth-order problems with separated boundary conditions
- 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
- 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
This page was built for publication: Quintic nonpolynomial spline solutions for fourth order two-point boundary value problem