On numerical solution of semilinear singular perturbation problems by using the Hermite scheme on a new Bakhalov-type mesh.
On Orthogonal Series Solution For Boundary Layer Problems
On second order of accuracy difference scheme of the approximate solution of nonlocal elliptic-parabolic problems.
On Some Difference Schemes for Singular Singularly-Perturbed Boundary Value Problems.
On the comparison of error bounds for finite difference schemes.
On the computational solution of two-point boundary-value problems.
On the convergence of multistep methods for nonlinear two-point boundary value problems
On the creation of a stable drop-like static meniscus, appropriate for the growth of a single crystal tube with prior specified inner and outer radii.
On the error estimation in numerical methods
On the generalized Riccati matrix differential equation. Exact, approximate solutions and error estimate
In this paper explicit expressions for solutions of Cauchy problems and two-point boundary value problems concerned with the generalized Riccati matrix differential equation are given. These explicit expressions are computable in terms of the data and solutions of certain algebraic Riccati equations related to the problem. The interplay between the algebraic and the differential problems is used in order to obtain approximate solutions of the differential problem in terms of those of the algebraic...
On the numerical solution of implicit two-point boundary-value problems
On the Numerical Treatment of a Small Divisor Problem.
On the Optimum Choice of Weight Functions in a Class of Variational Calculations.
On the Reduction of Holt's Problem to a Finite Interval.
On the sharpness of a superconvergence estimate in connection with one-dimensional Galerkin-methods.
On the stability of solutions of a multipoint boundary value problem for a system of generalized ordinary differential equations.
On the Stability of the Ritz Procedure for Nonlinear Problems.
On the stability of the Ritz procedure for nonlinear two-point boundary value problems
On the worst scenario method: Application to uncertain nonlinear differential equations with numerical examples
One-step methods for ordinary differential equations with parameters
In the present paper we are concerned with the problem of numerical solution of ordinary differential equations with parameters. Our method is based on a one-step procedure for IDEs combined with an iterative process. Simple sufficient conditions for the convergence of this method are obtained. Estimations of errors and some numerical examples are given.