Browsing Scopus İndeksli Yayınlar Koleksiyonu by Author "0000-0002-6673-3560"

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A computational method for nonlinear Burgers’ equation using quartic-trigonometric tension B-splines

Yigit, Gulsemay; Hepson, Ozlem Ersoy; Allahviranloo, Tofigh (Springer Medizin, 2022)

This work proposes a finite element method emphasizing with quartic-trigonometric basis functions for finding the numerical solution of nonlinear Burgers’ equation. The computational scheme is constructed by a discretized ...
Conditions to guarantee the existence of solutions for a nonlinear and implicit integro-differential equation with variable coefficients

Li, Chenkuan; Saadati, Reza; Allahviranloo, Tofigh (WILEY, 2022)

Using Babenko's approach, multivariate Mittag-Leffler (MM-L) function, and Krasnoselskii's fixed point theorem, we first investigate the existence of solutions to a Liouville-Caputo nonlinear integro-differential equation ...