Solution of boundary value problems for integro-differential equations by using differential transform method

Solving Systems of Volterra Integral and Integrodifferential Equations with Proportional Delays by Differential Transformation Method

“…The method based on Taylor series and yields of differential transformation are difference equations which solutions give the exact values of derivatives of origin function at the given point. The method has been used for a wide class of problems [22][23][24][25]. The main advantage of differential transformation from Laplace and Fourier transformations is that it can be 2 Journal of Mathematics applied easily to linear equations with constant and variable coefficients and some nonlinear equations.…”

Applications of differential transformation method to solve systems of ordinary and partial differential equations

“…One-variable differential transformation Using relevant references [1,2,4,6,[9][10][11][12][21][22][23][24][25][26][27][28][29] the fundamental definitions of the One-variable Differential Transformation are explained as follows:…”

“…Furthermore, Ayaz is used to DTM to obtain the exact solution of different type of differential equations [6][7][8]. In 2005, Arikoglu and Ozkol used to new form of DTM about solution of boundary value problems for integro-differential equations [9]. In 2006, they used to DTM for solving differential-difference equations [10].…”

Numerical Solutions of Two Forms of Blasius Equation on a Half-Infinite Domain

“…It has been used to solve effectively, easily and accurately a large class of linear and nonlinear problems with approximations. The method is well addressed in [9][10][11][12][13][14]. However, DTM has some drawbacks.…”