Wyniki wyszukiwania - BazTech

Ograniczanie wyników

2 Journal of Applied Analysis

Znaleziono wyników: 2

Liczba wyników na stronie

Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

A computational method for time fractional partial integro-differential equations

Mojahedfar M., Tari Abolfazl, Shahmorad S.

Journal of Applied Analysis

2020

Vol. 26, nr 2

315--323

In this paper, a class of time fractional partial integro-differential equations (FPIDEs) with initial conditions is studied. Some operational matrices are used to reduce a FPIDE problem to a system of algebraic equations with special properties. The resulted system is solved to give an approximate solution to the problem. Error estimation is also discussed for the approximate solution. Finally, some numerical examples are given to show the accuracy of the proposed method.

Two-step collocation methods for two-dimensional Volterra integral equations of the second kind

Torabi Seyed Mousa, Tari Abolfazl, Shahmorad Sedaghat

Journal of Applied Analysis

2019

Vol. 25, nr 1

1--11

In this paper, we develop two-step collocation (2-SC) methods to solve two-dimensional nonlinear Volterra integral equations (2D-NVIEs) of the second kind. Here we convert a 2D-NVIE of the second kind to a one-dimensional case, and then we solve the resulting equation numerically by two-step collocation methods. We also study the convergence and stability analysis of the method. At the end, the accuracy and efficiency of the method is verified by solving two test equations which are stiff. In examples, we use the well-known differential transform method to obtain starting values.