Galerkin method applied to telegraph integro-differential equation with a weighted integral condition

Numerical Analysis of the Telegraph Equation with an Integral Condition

In this paper, an alternative method for accurately and efficiently modeling for the onedimensional Telegraph equation that combines classical and integral boundary conditions is presented. New matrix formulation technique with arbitrary polynomial bases is proposed for the numerical/analytical solution of this kind of partial differential equation. Not only the exact solutions have been achiev...

Weak solvability of a hyperbolic integro-differential equation with integral condition

The study of boundary value problems with non-local conditions has known a great development in the recent years. This is due to the importance of nonlocal conditions appearing in the mathematical modeling of various phenomena of physics, ecology, biology, etc. It is the case when the values of function on the boundary are related to values inside the domains or when the direct measurements on ...

Justification of a Galerkin Method for a Regularized Cauchy Singular Integro-differential Equation

For one class of the singular integro-differential equations with Cauchy kernel on an interval, a Galerkin method is justified. The convergence is proved and the error estimation is given.

Existence and Uniqueness of Generalized Solutions to a Telegraph Equation with an Integral Boundary Condition via Galerkin's Method

Research of a Multistep Method Applied to Numerical Solution of Volterra Integro-Differential Equation

Solution of some practical problems is reduced to the solution of the integro-differential equations. But for the numerical solution of such equations basically quadrature methods or its combination with multistep or one-step methods are used. The quadrature methods basically is applied to calculation of the integral participating in right hand side of integro-differential equations. As this in...