On the Solution of Volterra-Fredholm Integro-Differential Equation by Using New Iterative Method
Subject Areas : International Journal of Industrial Mathematics
1 - Young Researchers and Elite Club, Urmia Branch, Islamic Azad University, Urmia, Iran.
Keywords: Volterra-Fredholm integro-differential equation, Approximate solution, non linear integral equation, linear ]ntegral equation, New iterative method,
Abstract :
Integro-differential equations arise in various physical and biological problems. In this paper, a new iterative technique for solving linear Volterra-Fredholm integro-differential equation (VFIDE) has been introduced. The method is discussed in details and it is illustrated by solving some numerical examples. The approximate solution is most easily produced iteratively via the recurrence relation. Results are compared with the exact solutions, which reveal that new iteration method is very effective and convenient.