Non-polynomial quintic spline for solving fourth-order fractional boundary value problems involving product terms

N Khalid, M Abbas, MK Iqbal - Applied Mathematics and Computation, 2019 - Elsevier
In this article, we have explored the numerical solution of fourth order fractional boundary
value problems, involving product terms, by means of quintic spline collocation method. The …

[HTML][HTML] Septic spline solutions of sixth-order boundary value problems

SS Siddiqi, G Akram - Journal of computational and applied Mathematics, 2008 - Elsevier
Septic spline is used for the numerical solution of the sixth-order linear, special case
boundary value problem. End conditions for the definition of septic spline are derived …

Quintic nonpolynomial spline solutions for fourth order two-point boundary value problem

MA Ramadan, IF Lashien, WK Zahra - Communications in Nonlinear …, 2009 - Elsevier
In this paper, we develop quintic nonpolynomial spline methods for the numerical solution of
fourth order two-point boundary value problems. Using this spline function a few consistency …

Two-point boundary value problems associated to functional differential equations of even order solved by iterated splines

AM Bica, M Curila, S Curila - Applied Numerical Mathematics, 2016 - Elsevier
A new iterative numerical method to solve two-point boundary value problems associated to
functional differential equations of even order is proposed. The method uses a cubic spline …

Construction of high order numerical methods for solving fourth order nonlinear boundary value problems

QA Dang, TH Nguyen, VQ Vu - Numerical Algorithms, 2024 - Springer
In this paper, we construct numerical methods of fourth, sixth and eighth orders convergence
for solving fully fourth order nonlinear differential equation with the Dirichlet boundary …

Solutions of tenth-order boundary value problems using eleventh degree spline

SS Siddiqi, G Akram - Applied Mathematics and Computation, 2007 - Elsevier
Numerical solutions of the tenth-order linear special case boundary value problems are
obtained using eleventh degree spline. The end conditions consistent with the BVP, are also …

[HTML][HTML] Block hybrid method for the numerical solution of fourth order boundary value problems

MI Modebei, SN Jator, H Ramos - Journal of Computational and Applied …, 2020 - Elsevier
Abstract A linear Multistep Block Hybrid Method with four off-grid points is presented for the
direct approximation of the solution of fourth order Boundary Value Problems. Multiple Finite …

[PDF][PDF] Numerical solutions of fourth order boundary value problems by Galerkin method with quintic B-splines

K Viswanadham, PM Krishna, RS Koneru - Int. J. Nonlinear Sci, 2010 - researchgate.net
In this paper, Galerkin method with quintic B-splines as basis functions is presented to solve
a fourth order boundary value problem with two different cases of boundary conditions. In …

[PDF][PDF] A non-polynomial spline method for solving linear fourth-order boundary-value problems

OA Taiwo, OM Ogunlaran - International Journal of Physical …, 2011 - academicjournals.org
In this paper, we use a non-polynomial spline method to develop a numerical technique for
solving linear fourth-order boundary-value problems which are first reduced to a system of …

[HTML][HTML] Solution of a class of fourth order singular singularly perturbed boundary value problems by quintic B-spline method

RK Lodhi, HK Mishra - Journal of the Nigerian Mathematical Society, 2016 - Elsevier
In this paper, quintic B-spline method is described for solving a class of fourth order singular
singularly perturbed boundary value problems. This method is applied directly to the …