Chebyshev spectral method for solving fuzzy fractional Fredholm–Volterra integro-differential equation

2022 ◽  
Vol 192 ◽  
pp. 501-513
Author(s):  
Sachin Kumar ◽  
Juan J. Nieto ◽  
Bashir Ahmad
1998 ◽  
Vol 08 (06) ◽  
pp. 1023-1038 ◽  
Author(s):  
FLAVIO SARTORETTO ◽  
RENATO SPIGLER ◽  
CONRADO J. PÉREZ VICENTE

A spectral method is developed to solve the Kuramoto–Sakaguchi nonlinear integro-differential equation numerically. This describes the dynamical behavior of populations of infinitely many nonlinearly coupled oscillators, and models a large number of phenomena in Biology, Medicine, and Physics. Some relevant bifurcation properties of solutions are investigated, and the numerical results are compared with those obtained from both the linearized equation and Monte–Carlo-type simulations of finitely many Langevin equations. In the numerical experiments, several frequency distributions, and several values of the bifurcation parameters are considered.


2013 ◽  
Vol 5 (2) ◽  
pp. 131-145 ◽  
Author(s):  
Weishan Zheng ◽  
Yanping Chen

AbstractIn this paper, a Legendre-collocation spectral method is developed for the second order Volterra integro-differential equation with pantograph delay. We provide a rigorous error analysis for the proposed method. The spectral rate of convergence for the proposed method is established in both L2-norm and L∞-norm.


2019 ◽  
Vol 8 (4) ◽  
pp. 36
Author(s):  
Samir H. Abbas

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].


Author(s):  
Abdul Khaleq O. Al-Jubory ◽  
Shaymaa Hussain Salih

In this work, we employ a new normalization Bernstein basis for solving linear Freadholm of fractional integro-differential equations  nonhomogeneous  of the second type (LFFIDEs). We adopt Petrov-Galerkian method (PGM) to approximate solution of the (LFFIDEs) via normalization Bernstein basis that yields linear system. Some examples are given and their results are shown in tables and figures, the Petrov-Galerkian method (PGM) is very effective and convenient and overcome the difficulty of traditional methods. We solve this problem (LFFIDEs) by the assistance of Matlab10.   


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