Add to ORKGAbstract. A new class of numerical methods for Volterra integro-differential equations with memory is developed. The methods are based on the combination of general linear methods with compound quadrature rules. Sufficient conditions that guarantee global and asymptotic stability of the solution of the differential equation and its numerical approximation are established. Numerical examples illustrate the convergence and effectiveness of the numerical methods
Beginning from the creator of integro-differential equations Volterra, many scientists have investig...
In this article, block BS methods are considered for the numerical solution of Volterra integro-diff...
We present multistep collocation based numerical methods for Volterra Integro-Differential Equations...
Abstract. A new class of numerical methods for Volterra integro-differential equations with memory i...
A new class of numerical methods for Volterra integro-differential equations with memory is develope...
In this paper, we describe the construction of a class of methods with a large area of the stability...
A formal relationship between quadrature rules and linear multistep methods for ordinary differentia...
Volterra Integro-Differential Equations (VIDEs) have been proposed as the mathematical models of a w...
summary:Stability analysis for numerical solutions of Voltera integro-differential equations based o...
Linear multistep methods for ordinary differential equations in conjunction with a family of computa...
We investigate the class of general linear methods of order $p$ and stage order $q=p$ for the numeri...
In this paper we will develop a new method to find a numerical solution for the general form of the ...
In this paper, the implementation of one-step hybrid block method with quadrature rules will be prop...
Beginning from the creator of integro-differential equations Volterra, many scientists have investig...
In this article, block BS methods are considered for the numerical solution of Volterra integro-diff...
We present multistep collocation based numerical methods for Volterra Integro-Differential Equations...
Abstract. A new class of numerical methods for Volterra integro-differential equations with memory i...
A new class of numerical methods for Volterra integro-differential equations with memory is develope...
In this paper, we describe the construction of a class of methods with a large area of the stability...
A formal relationship between quadrature rules and linear multistep methods for ordinary differentia...
Volterra Integro-Differential Equations (VIDEs) have been proposed as the mathematical models of a w...
summary:Stability analysis for numerical solutions of Voltera integro-differential equations based o...
Linear multistep methods for ordinary differential equations in conjunction with a family of computa...
We investigate the class of general linear methods of order $p$ and stage order $q=p$ for the numeri...
In this paper we will develop a new method to find a numerical solution for the general form of the ...
In this paper, the implementation of one-step hybrid block method with quadrature rules will be prop...
Beginning from the creator of integro-differential equations Volterra, many scientists have investig...
In this article, block BS methods are considered for the numerical solution of Volterra integro-diff...
We present multistep collocation based numerical methods for Volterra Integro-Differential Equations...