Construction of operational matrices based on linear cardinal B-spline functions for solving fractional stochastic integro-differential equation

2021 ◽  
Author(s):  
Somayeh Abdi-Mazraeh ◽  
Hossein Kheiri ◽  
Safar Irandoust-Pakchin
Keyword(s):  
Differential Equation ◽  
Spline Functions ◽  
Operational Matrices ◽  
B Spline ◽  
Integro Differential Equation

scholarly journals Solution of Second Order Singular Perturbed Delay Differential Equation Using Trigonometric B-Spline

2019 ◽  
Vol 4 (2) ◽  
pp. 349-360 ◽  
Author(s):  
Mandeep Kaur Vaid ◽  
Geeta Arora
Keyword(s):  
Differential Equation ◽  
Delay Differential Equation ◽  
Numerical Technique ◽  
Real Life ◽  
Basis Functions ◽  
Spline Functions ◽  
Thomas Algorithm ◽  
B Spline ◽  
Computational Work ◽  
Delay Differential

In this paper, a numerical technique is presented to approximate the solution of a singular perturbed delay differential equation. The continual emerge of singular perturbed delay differential equations in a mathematical model of real life applications trigger the researchers for the numerical treatment of these equations. The numerical technique is based on trigonometric cubic B-spline functions in which derivatives are approximated as a linear sum of basis functions. The obtained matrix system is solved by using the Thomas Algorithm. The convergence of the employed proposal is scrutinized and computational work is carried out on four examples to test the capability of the proposed scheme. The approximated solution is compared with the existing technique and to present the behavior of the obtained solution graphs are plotted.

Some numerical graphs with successive approximation method of fractional integro–differential equation

2019 ◽  
Vol 8 (4) ◽  
pp. 36
Author(s):  
Samir H. Abbas
Keyword(s):  
Differential Equation ◽  
Successive Approximation ◽  
Approximation Method ◽  
Existence And Uniqueness ◽  
Successive Approximation Method ◽  
Integro Differential Equation

This paper studies the existence and uniqueness solution of fractional integro-differential equation, by using some numerical graphs with successive approximation method of fractional integro –differential equation. The results of written new program in Mat-Lab show that the method is very interested and efficient. Also we extend the results of Butris [3].

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