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.
Computable error bounds with improved applicability conditions for collocation methods.
Computation and continuation of quasiperiodic solutions
Computation of displacements for nonlinear elastic beam models using monotone iterations.
Computationally efficient technique for solving ODE systems exhibiting initial and boundary layers.
Continuous approximation of time-periodic solutions of a linear parabolic equation
Convergence of a mimetic finite difference method for static diffusion equation.
Convergence of multistep methods for systems of ordinary differential equations with parameters
The author considers the convergence of quasilinear nonstationary multistep methods for systems of ordinary differential with parameters. Sufficient conditions for their convergence are given. The new numerical method is tested for two examples and it turns out to be a little better than the Hamming method.
Corrigendum to: Spline-wavelet solution of singularly perturbed boundary problem
Cubic spline difference scheme on a mesh of Bakhvalov type.