New Approach to the Iterative Method for Numerical Solution of a Convolution Type Equation Determined for a Certain Class of Problems

2021 ◽  
Vol 61 (8) ◽  
pp. 1260-1268
Author(s):  
M. L. Maslakov
Keyword(s):  
Iterative Method ◽  
Numerical Solution ◽  
Type Equation ◽  
Convolution Type ◽  
New Approach ◽  
Convolution Type Equation

Numerical Solution of Time-Fractional Klein–Gordon Equation by Using the Decomposition Methods

2016 ◽  
Vol 11 (4) ◽  
Author(s):  
Hossein Jafari
Keyword(s):  
Iterative Method ◽  
Numerical Solution ◽  
Decomposition Method ◽  
Gordon Equation ◽  
Adomian Decomposition Method ◽  
Type Equation ◽  
Decomposition Methods ◽  
Adomian Decomposition ◽  
Klein Gordon ◽  
Klein Gordon Equation

In this paper, we apply two decomposition methods, the Adomian decomposition method (ADM) and a well-established iterative method, to solve time-fractional Klein–Gordon type equation. We compare these methods and discuss the convergence of them. The obtained results reveal that these methods are very accurate and effective.

scholarly journals On estimations of solutions of one convolution type equation

2013 ◽  
Vol 5 (1) ◽  
pp. 30-35
Author(s):  
B.V. Vynnytskyi ◽  
V.M. Dilnyi
Keyword(s):  
Analytic Continuation ◽  
Type Equation ◽  
Convolution Type ◽  
Smirnov Space ◽  
Convolution Type Equation

We consider a convolution type equation in a semi-strip for the functions belonging to the Hardy-Smirnov space. Estimations of solutions are obtained in terms of analytic continuation.

A new modified group explicit iterative method for the numerical solution of time dependent viscous Burgers' equation

2014 ◽  
Vol 05 (02) ◽  
pp. 1350029 ◽  
Author(s):  
Jyoti Talwar ◽  
R. K. Mohanty
Keyword(s):  
Iterative Method ◽  
Numerical Solution ◽  
Convergence Analysis ◽  
Iterative Methods ◽  
Iteration Method ◽  
Burgers Equation ◽  
Time Dependent ◽  
Alternating Group ◽  
Explicit Method ◽  
Rectangular Coordinates

In this article, we discuss a new smart alternating group explicit method based on off-step discretization for the solution of time dependent viscous Burgers' equation in rectangular coordinates. The convergence analysis for the new iteration method is discussed in details. We compared the results of Burgers' equation obtained by using the proposed iterative method with the results obtained by other iterative methods to demonstrate computationally the efficiency of the proposed method.

Sign in / Sign up

Export Citation Format

Share Document