Waveform relaxation and comparison methods for multipoint boundary value problems

Adjoints of Multipoint-integral Boundary Value Problems

The dual system to Ly=y'+Py, J_AtyOi)+ f1 K(t)v(t)dt = 0 is found when the setting is ¿°(0,1), 1 /2 -1 l/jj dt Kp' denote those vectors in X which are absolutely cont...

Triple Positive Solutions for Multipoint Conjugate Boundary Value Problems

For the nth order nonlinear differential equation y(n)(t) = f(y(t)), t ∈ [0, 1], satisfying the multipoint conjugate boundary conditions, y(ai) = 0, 1 ≤ i ≤ k, 0 ≤ j ≤ ni − 1, 0 = a1 < a2 < · · · < ak = 1, and ∑k i=1 ni = n, where f : R→ [0,∞) is continuous, growth condtions are imposed on f which yield the existence of at least three solutions that belong to a cone.

An Efficient Method for Solving Multipoint Equation Boundary Value Problems

In this work, we solve multipoint boundary value problems where the boundary value conditions are equations using the Newton-Broyden Shooting method (NBSM).The proposed method is tested upon several problems from the literature and the results are compared with the available exact solution. The experiments are given to illustrate the efficiency and implementation of the method. Keywords—Boundar...

L2-transforms for boundary value problems

In this article, we will show the complex inversion formula for the inversion of the L2-transform and also some applications of the L2, and Post Widder transforms for solving singular integral equation with trigonometric kernel. Finally, we obtained analytic solution for a partial differential equation with non-constant coefficients.

On the Convergence of Continuous-Time Waveform Relaxation Methods for Singular Perturbation Initial Value Problems