Üçüncü Mertebeden Kısmi Diferansiyel Denklemin Homotopy Pertürbasyon Metodu ile Çözümü
Abstract
Keywords
References
- [1] Pinar, Z., Kocak, H. 2018. Exact solutions for the third-order dispersive-Fisher equations. Nonlinear Dynamics, 91(1), 421-426.
- [2] Ding, L., Ma, W. X., Chen, Q., Huang, Y. 2021. Lump solutions of a nonlinear PDE containing a third-order derivative of time. Applied Mathematics Letters, 112, 106809.
- [3] Rui, W., He, B., Long, Y., Chen, C. 2008. The integral bifurcation method and its application for solving a family of third-order dispersive PDEs. Nonlinear Analysis: Theory, Methods & Applications, 69(4), 1256-1267.
- [4] Manafian, J., Mohammed, SA, Alizadeh, AA, Baskonus, HM ve Gao, W. 2020. Sığ su üzerinde uzun dalgaların yayılmasından kaynaklanan üçüncü dereceden evrim denklemi için yumru ve etkileşiminin araştırılması. European Journal of Mechanics-B/Fluids , 84 , 289-301.
- [5] González-Pinto, S., Hernández-Abreu, D., Pérez-Rodríguez, S., Weiner, R. 2016. A family of three-stage third order AMF-W-methods for the time integration of advection diffusion reaction PDEs. Applied Mathematics and Computation, 274, 565-584. [6] Zhou, Q., Liu, L., Liu, Y., Yu, H., Yao, P., Wei, C., Zhang, H. 2015. Exact optical solitons in metamaterials with cubic–quintic nonlinearity and third-order dispersion. Nonlinear Dynamics, 80(3), 1365-1371.
- [7] Mary, D. S.1985. Analysis of an implicit finite-difference scheme for a third-order partial differential equation in three dimensions. Computers & Mathematics with Applications, 11(7-8), 873-885.
- [8] Loghmani, G. B., Ahmadinia, M. 2006. Numerical solution of third-order boundary value problems.
- [9] Gordon, R. K., Hutchcraft, W. E. 2001. Higher order wavelet-like basis functions in the numerical solution of partial differential equations using the finite element method. In Proceedings of the 33rd Southeastern Symposium on System Theory (Cat. No. 01EX460) (pp. 391-394). IEEE.
Details
Primary Language
Turkish
Subjects
Engineering
Journal Section
Research Article
Publication Date
December 31, 2021
Submission Date
August 12, 2021
Acceptance Date
November 2, 2021
Published in Issue
Year 2021 Volume: 10 Number: 4
Cited By
Numerical Solutions of Fractional Order Pseudo Hyperbolic Differential Equations by Finite Difference Method
Afyon Kocatepe University Journal of Sciences and Engineering
https://doi.org/10.35414/akufemubid.1124445KESİRLİ MERTEBEDEN PSEUDO-HİPERBOLİK KISMİ DİFERANSİYEL DENKLEMİNİN HOMOTOPİ PERTÜRBASYON YÖNTEMİYLE YAKLAŞIK ÇÖZÜMÜ
Uşak Üniversitesi Fen ve Doğa Bilimleri Dergisi
https://doi.org/10.47137/usufedbid.1137666