• Journal of applied mathematics & informatics
• /
• 제30권5_6호
• /
• pp.981-992
• /
• 2012

Integro-differential equations arise in modeling various physical and engineering problems. Several numerical and analytical methods have been developed to solving such equations. We introduce the NHPM for solving nonlinear integro-differential equations. Several examples for solving integro-differential equations are presented to illustrate the efficiency of the proposed NHPM.

• 충청수학회지
• /
• 제22권1호
• /
• pp.81-88
• /
• 2009

In this paper, we investigate h-stability for the nonlinear Volterra integro-differential equations and the functional integro-differential equations.

• 충청수학회지
• /
• 제21권4호
• /
• pp.511-517
• /
• 2008

In this paper, we investigate h-stability of nonlinear integro-differential equations.

• 대한수학회논문집
• /
• 제35권3호
• /
• pp.879-890
• /
• 2020

In this paper we study the stability properties of solutions of nonlinear impulsive integro-differential systems by using an integral inequality under the stability of the corresponding variational impulsive integro-differential systems. Also, we give examples to illustrate our results.

• Journal of the Korean Society for Industrial and Applied Mathematics
• /
• 제21권1호
• /
• pp.17-28
• /
• 2017

A combined form of the modified Laplace Adomian decomposition method (LADM) is developed for the analytic treatment of the nonlinear Volterra-Fredholm integro differential equations. This method is effectively used to handle nonlinear integro differential equations of the first and the second kind. Finally, some examples will be examined to support the proposed analysis.

• 충청수학회지
• /
• 제13권1호
• /
• pp.45-51
• /
• 2000

We will investigate some properties of integro-delay-differential equations, $$x^{\prime}(t)=A(t)x(t-g_1(t,x_t))+{\int}_{t_0}^{t}B(t,s)x(s-g_2(s,x_s))ds,\;t_0{\geq}0,\\x(t_0)={\phi}$$,

• Journal of the Korean Society for Industrial and Applied Mathematics
• /
• 제2권2호
• /
• pp.31-40
• /
• 1998

Spectral analysis by energy method is given for a fully discrete methods for hyperbolic integro-differential equations with a weakly singular kernel. Stability and error estimates in $H^1$-norm are derived.

• 한국수학교육학회지시리즈B:순수및응용수학
• /
• 제24권1호
• /
• pp.1-19
• /
• 2017

In this paper we obtain some integral inequalities by using Stieltjes derivatives, and we apply our results to the study of asymptotic behavior of a certain second-order integro-differential equation.

• 충청수학회지
• /
• 제8권1호
• /
• pp.79-87
• /
• 1995

We complete the proofs of integral and integro-differential inequalities presented in Lakshmikantham, Leela and Raos' results.

• Journal of applied mathematics & informatics
• /
• 제31권1_2호
• /
• pp.65-77
• /
• 2013

In this paper, we develop the operational Tau method for solving nonlinear Volterra integro-differential equations of the second kind. The existence and uniqueness of the problem is provided. Here, we show that the nonlinear system resulted from the operational Tau method has a semi triangular form, so it can be solved easily by the forward substitution method. Finally, the accuracy of the method is verified by presenting some numerical computations.