Analytical and numerical techniques for initial‐boundary value problems of Kolmogorov–Petrovsky–Piskunov equation
     
Yazarlar (4)
Ben Wongsaıjaı Chiang Mai University, Tayland
Doç. Dr. Tuğba AYDEMİR Yalova Üniversitesi, Türkiye
Turgut Ak Milli Savunma Üniversitesi, Türkiye
Sharanjeet Dhawan Central University Of Haryana, Hindistan
Makale Türü Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Numerical Methods for Partial Differential Equations (Q1)
Dergi ISSN 0749-159X Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce Basım Tarihi 12-2020
Cilt / Sayı / Sayfa 40 / 1 / – DOI 10.1002/num.22693
Makale Linki http://dx.doi.org/10.1002/num.22693
Özet
In this work, we are interested in finding exact and numerical solutions of well-known Kolmogorov–Petrovsky–Piskunov (KPP) equation. Here, we introduce modified extended tanh method for finding the exact solutions of KPP equation and an average linear finite difference scheme for numerical investigations. It has been observed that the numerical scheme so employed is stable and accurate enough to produce stable results.
Anahtar Kelimeler
convergence | finite difference method | initial-boundary value problem | Kolmogorov–Petrovsky–Piskunov equation | tanh method