Reduction of dimensionality for systems of linear two-point boundary value problems with constant coefficients

B-SPLINE METHOD FOR TWO-POINT BOUNDARY VALUE PROBLEMS

In this work the collocation method based on quartic B-spline is developed and applied to two-point boundary value problem in ordinary diferential equations. The error analysis and convergence of presented method is discussed. The method illustrated by two test examples which verify that the presented method is applicable and considerable accurate.

Approximating Initial-Value Problems with Two-Point Boundary-Value Problems: BBM-Equation

Nino Partsvania ON TWO-POINT BOUNDARY VALUE PROBLEMS FOR TWO-DIMENSIONAL LINEAR DIFFERENTIAL SYSTEMS WITH SINGULAR COEFFICIENTS

Two-point boundary value problems for two-dimensional systems of linear differential equations with singular coefficients are considered. The cases are optimally described when the above-mentioned problems have the Fredholm property, and unimprovable in a certain sense conditions are established guaranteeing the unique solvability of those problems. îâäæñéâ. àŽêýæèñèæŽ ëîûâîðæèëãŽêæ ïŽïŽäôãîë Ž...

Existence of positive solutions for fourth-order boundary value problems with three- point boundary conditions

In this work, by employing the Krasnosel'skii fixed point theorem, we study the existence of positive solutions of a three-point boundary value problem for the following fourth-order differential equation begin{eqnarray*} left { begin{array}{ll} u^{(4)}(t) -f(t,u(t),u^{prime prime }(t))=0 hspace{1cm} 0 leq t leq 1, & u(0) = u(1)=0, hspace{1cm} alpha u^{prime prime }(0) - beta u^{prime prime pri...

An ‎E‎ffective Numerical Technique for Solving Second Order Linear Two-Point Boundary Value Problems with Deviating Argument

Based on reproducing kernel theory, an effective numerical technique is proposed for solving second order linear two-point boundary value problems with deviating argument. In this method, reproducing kernels with Chebyshev polynomial form are used (C-RKM). The convergence and an error estimation of the method are discussed. The efficiency and the accuracy of the method is demonstrated on some n...