Abstract. 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
Volterra Integro-Differential Equations (VIDEs) are models of evolutionary problems with memory in m...
We present multistep collocation based numerical methods for Volterra Integro-Differential Equations...
In this paper, the implementation of one-step hybrid block method with quadrature rules will be prop...
A new class of numerical methods for Volterra integro-differential equations with memory is develope...
Abstract. A new class of numerical methods for Volterra integro-differential equations with memory i...
In this paper, we describe the construction of a class of methods with a large area of the stability...
Volterra Integro-Differential Equations (VIDEs) have been proposed as the mathematical models of a w...
A formal relationship between quadrature rules and linear multistep methods for ordinary differentia...
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...
The numerical stability of the polynomial spline collocation method for general Volterra integro-dif...
In this article, block BS methods are considered for the numerical solution of Volterra integro-diff...
Beginning from the creator of integro-differential equations Volterra, many scientists have investig...
Volterra Integro-Differential Equations (VIDEs) are models of evolutionary problems with memory in m...
We present multistep collocation based numerical methods for Volterra Integro-Differential Equations...
In this paper, the implementation of one-step hybrid block method with quadrature rules will be prop...
A new class of numerical methods for Volterra integro-differential equations with memory is develope...
Abstract. A new class of numerical methods for Volterra integro-differential equations with memory i...
In this paper, we describe the construction of a class of methods with a large area of the stability...
Volterra Integro-Differential Equations (VIDEs) have been proposed as the mathematical models of a w...
A formal relationship between quadrature rules and linear multistep methods for ordinary differentia...
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...
The numerical stability of the polynomial spline collocation method for general Volterra integro-dif...
In this article, block BS methods are considered for the numerical solution of Volterra integro-diff...
Beginning from the creator of integro-differential equations Volterra, many scientists have investig...
Volterra Integro-Differential Equations (VIDEs) are models of evolutionary problems with memory in m...
We present multistep collocation based numerical methods for Volterra Integro-Differential Equations...
In this paper, the implementation of one-step hybrid block method with quadrature rules will be prop...