Related Articles ( Boundary value problems )
Application of Optimal Homotopy Asymptotic Method for Solving Linear Boundary Value Problems Differential Equation
The objective of this study are to apply the OHAM to find approximate solutions of singular two-point boundary value problems comparisons with exact solutions and other method like spline method were made. The results of equations studied using OHAM solutions were significantly reliable.
Lacunary Interpolation Using Quartic B-Splin
In this paper, a quadratic B-Spline has been constructed that is an approximate solution to a function with very limited given lacunary data and approximate boundary conditions. Then the error bound for the B-spline is found. Further this construction is used to solve boundary value problem.
Finite Difference Method for Numerical Solution of Two Point Boundary Value Problems with Non-uniform Mesh and Internal Boundary Condition
In this article, we have presented a variable step finite difference method for solving second order boundary value problems in ordinary differential equations with an internal boundary condition. We have discussed the convergence and established at least cubic order of accuracy of the proposed method. ...
A six-step Block Unification Integrator for Numerical Solution of Fourth Order Boundary Value Problems
In this paper, a new 7th order continuous finite difference methods is proposed. These methods are derived using the Chebyshev polynomials as basis functions. The collocation approach is employed to obtain the main methods and additional methods used for solving general nonlinear fourth order two and four-points ...
An Accurate Approximate Solutions of Multipoint Boundary Value Problems
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 modification of optimal homotopy asymptotic method (OHAM). This procedure is a well-performance for calculating a better ...
A New Accurate Approximate Solution of Singular Two-Point Boundary Value Problems
In this paper, A new accurate solutions are obtained for classes of singular two-point boundary value problems (BVPs) using a new solution procedure based on the construction of the auxiliary functions of the standard optimal homotopy asymptotic method (OHAM). This procedure give us accurate approximate ...