The use of Sinc-collocation method for solving multi-point boundary value problems

A Saadatmandi, M Dehghan - Communications in Nonlinear Science and …, 2012‏ - Elsevier
Multi-point boundary value problems have received considerable interest in the
mathematical applications in different areas of science and engineering. In this work, our …

An efficient numerical approach for solving three-point Lane–Emden–Fowler boundary value problem

J Shahni, R Singh, C Cattani - Mathematics and Computers in Simulation, 2023‏ - Elsevier
Abstract For three-point Lane–Emden–Fowler boundary value problems (LEFBVPs), we
propose two robust algorithms consisting of Bernstein and shifted Chebyshev polynomials …

An iterative reproducing kernel method in Hilbert space for the multi-point boundary value problems

B Azarnavid, K Parand - Journal of Computational and Applied …, 2018‏ - Elsevier
In this paper, an iterative method is proposed to solve the nonlinear Bitsadze–Samarskii
boundary value problems with multi-point boundary conditions. The algorithm is based on …

A method of particular solutions for multi-point boundary value problems

SY Reutskiy - Applied Mathematics and Computation, 2014‏ - Elsevier
The paper presents a new semi-analytic numerical method for solving multi-point boundary
value problems with linear and nonlinear equations of the second and higher orders. The …

[HTML][HTML] Solving integro-differential boundary value problems using sinc-derivative collocation

K Abdella, G Ross - Mathematics, 2020‏ - mdpi.com
In this paper, the sinc-derivative collocation approach is used to solve second order integro-
differential boundary value problems. While the derivative of the unknown variables is …

An efficient technique to find semi-analytical solutions for higher order multi-point boundary value problems

S Kheybari, MT Darvishi - Applied Mathematics and Computation, 2018‏ - Elsevier
A new semi-analytical algorithm is presented to solve general multi-point boundary value
problems. This method can be applied on nth order linear, nonlinear, singular and …

A Green's function-based computationally efficient approach for solving a kind of nonlocal BVPs

M Singh - Computational Methods for Differential Equations, 2024‏ - cmde.tabrizu.ac.ir
This study attempts to find approximate numerical solutions for a kind of second-order
nonlinear differential problem subject to some Dirichlet and mixed-type nonlocal (specifically …

Reproducing kernel representation of the solution of second order linear three‐point boundary value problem

H Bai, IT Leong, P Dang - Mathematical Methods in the Applied …, 2022‏ - Wiley Online Library
This paper investigates the analytical solutions and numerical solutions of second order
linear boundary value problems with three‐point boundary conditions by means of the weak …

[PDF][PDF] An Accurate Approximate Solutions of Multipoint Boundary Value Problems

NR Anakira, MM Al-Shorman, AF Jameel - General Letters in …, 2019‏ - refaad.com
The main objective of this paper is to obtain a new accurate approximate solutions for a kind
of ordinary differential equations called multipoint boundary value problems by using simple …

Reproducing kernel pseudospectral method for the numerical investigation of nonlinear multi-point boundary value problems

M Nabati, M Emamjome, M Jalalvand - Computational and Applied …, 2018‏ - Springer
This paper presents a computational method to solve nonlinear boundary value problems
with multi-point boundary conditions. These problems have important applications in the …