An Iteration Scheme for Boundary Value-Alternative Problems.
Analysis and numerical solutions of positive and dead core solutions of singular Sturm-Liouville problems.
Analysis of Finite Element Methods for Second Order Boundary Value Problems Using Mesh Dependent Norms.
Analytical approximation to solutions of singularly perturbed boundary value problems.
Approximate methods for solving differential equations on infinite interval
Approximation de quelques problèmes de type Stokes par une méthode d'èlements finis mixtes.
Approximation of solutions to second order nonlinear Picard problems with Carathéodory right-hand side
We present an approximation method for Picard second order boundary value problems with Carathéodory righthand side. The method is based on the idea of replacing a measurable function in the right-hand side of the problem with its Kantorovich polynomial. We will show that this approximation scheme recovers essential solutions to the original BVP. We also consider the corresponding finite dimensional problem. We suggest a suitable mapping of solutions to finite dimensional problems to piecewise constant...
Approximation of the Solution of a Fourth Order Boundary Value Problem with Nonsmooth Coefficient.
Asymptotic numerical method for singularly perturbed third order ordinary differential equations with a discontinuous source term.
Aufspaltungen linearer gewöhnlicher Differentialoperatoren und der zugehörigen Greenschen Funktion.
Berechnung des charakteristischen Exponenten der endlichen Hillschen Differentialgleichung durch Numerische Integration.
Boundary value problems for the mildly non-linear ordinary differential equation of the fourth order
Calcul des couches limites dans une membrane porteuse de charges électriques fixes
Cauchy Problem for Differential Equation with Caputo Derivative
The paper is devoted to the study of the Cauchy problem for a nonlinear differential equation of complex order with the Caputo fractional derivative. The equivalence of this problem and a nonlinear Volterra integral equation in the space of continuously differentiable functions is established. On the basis of this result, the existence and uniqueness of the solution of the considered Cauchy problem is proved. The approximate-iterative method by Dzjadyk is used to obtain the approximate solution...
Collocation and Residual Correction.
Collocation for Systems of Boundary Value Problems.
Comparing Routines for the Numerical Solution of Initial Value Problems of Ordinary Differential Equations in Multiple Shooting .
Comparison between the variational iteration method and the homotopy perturbation method for the Sturm-Liouville differential equation.
Comparison of the factorization method and the method of combination of solutions
Computable error bounds for collocation methods.