Rothe’s method for a telegraph equation with integral conditions

Solution to an integrodifferential equation with integral condition

“…Further development is connected with Rektorys (see [6,7]) who obtained more smooth solutions. Recently, Rothe's method has been developed to cover other types of equations as we can see in [8][9][10][11][12].…”

The method of lines applied to nonlinear nonlocal functional differential equations

“…In [16] authors constructed a semidiscrete approximate solution to a semilinear one-dimensional heat equation subject to the nonlocal conditions by means of the method of lines. Recently Lakoud et al used this method to study the existence of unique solution for a telegraph equation and integrodifferential equation with integral conditions respectively in [9,10].…”

A New Semi-Analytical Solution of the Telegraph Equation with Integral Condition

“…In [15], the authors investigated this problem and discussed the existence and uniqueness of the solution of this important problem by using the Rothe method. In [16], the author proposed an iterative method for solving this problem.…”