Crank-Nicholson difference scheme for the system of nonlinear parabolic equations observing epidemic models with general nonlinear incidence rate
Ashyralyev A. Hincal E. Kaymakamzade B.
2021American Institute of Mathematical Sciences
Mathematical Biosciences and Engineering
2021#18Issue 68883 - 8904 pp.
In this work, we study second order Crank-Nicholson difference scheme (DS) for the approximate solution of problem (1). The existence and uniqueness of the theorem on a bounded solution of Crank-Nicholson DS uniformly with respect to time step τ is proved. In practice, theoretical results are presented on four systems of nonlinear parabolic equations to explain how it works on one and multidimensional problems. Numerical results are provided.
Bounded solution , Epidemic models , Realization in computer , System of nonlinear parabolic equations
Text of the article Перейти на текст статьи
Department of Mathematics, Near East University, Mersin 10, Nicosia, Turkey
Mathematics Research Center, Near East University, Mersin 10, Nicosia, Turkey
Peoples Friendship University of Russia, RUDN University, Ul Miklukho Maklaya 6, Moscow, 117198, Russian Federation
Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
Department of Mathematics
Mathematics Research Center
Peoples Friendship University of Russia
Institute of Mathematics and Mathematical Modeling
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026