Hadis Seiheii - Department of Mathematics, Arak Branch, Islamic Azad University, Arak, Iran. Majid Alavi - Department of Mathematics, Arak Branch, Islamic Azad University, Arak, Iran. Fatemeh Ghadami - Department of Mathematics, Arak Branch, Islamic Azad University, Arak, Iran.
In this paper we use differential transform method for solving nonlinear and linear Volterra integral equation with the kernel \(ask(x-t)\) by using an efficient technique. We approximate the kernel of integral equation with Taylor series and make integral equation simpler by using some techniques that when we use differential transform method, we do not need difficult computation. Note that without this technique, solving integral equation by DTM method will be hard. Through some examples, we have shown the application of these techniques and differential transform method.
Hadis Seiheii, Majid Alavi, Fatemeh Ghadami, Numerical Method for Solving a Kind of Volterra Integral Equation Using Differential Transform Method, Journal of Mathematics and Computer Science, 6 (2013), no. 3, 220-229
Seiheii Hadis, Alavi Majid, Ghadami Fatemeh, Numerical Method for Solving a Kind of Volterra Integral Equation Using Differential Transform Method. J Math Comput SCI-JM. (2013); 6(3):220-229
Seiheii, Hadis, Alavi, Majid, Ghadami, Fatemeh. "Numerical Method for Solving a Kind of Volterra Integral Equation Using Differential Transform Method." Journal of Mathematics and Computer Science, 6, no. 3 (2013): 220-229
