Adomian Decomposition Method for the One-dimensional Nonlocal Fisher–Kolmogorov–Petrovsky–Piskunov Equation

Adomian Decomposition Method for the One-dimensional Nonlocal Fisher–Kolmogorov–Petrovsky–Piskunov Equation

Bibliographic Details
Parent link:Russian Physics Journal
Vol. 62, iss. 4.— 2019.— [P. 710-719]
Main Author: Shapovalov A. V. Aleksandr Vasiljevich
Corporate Author: Национальный исследовательский Томский политехнический университет Школа базовой инженерной подготовки Отделение математики и информатики
Other Authors: Trifonov A. Yu. Andrey Yurievich
Summary:Title screen
The Adomian decomposition method is applied to construct an approximate solution of the generalized one-dimensional Fisher-Kolmogorov-Petrovsky-Piskunov equation describing the population dynamics with nonlocal competitive losses. An approximate solution is constructed in the class of decreasing functions. The diffusion operator is taken as a reversible linear operator. The inverse operator is presented in terms of the diffusion propagator. An example of the approximate solution of the Cauchy problem for the function of competitive losses and for the initial function of the Gaussian type is considered.
Режим доступа: по договору с организацией-держателем ресурса
Published: 2019
Subjects:
электронный ресурс
труды учёных ТПУ
onlocal generalized Fisher–Kolmogorov–Petrovsky–Piskunov equation
approximate solutions
Adomian’s decomposition method
diffusion propagator
уравнение Фишера-Колмогорова-Петровского-Пискунова
метод разложения
убывающие функции
пропагаторы
линейные операторы
обратные операторы
Online Access:https://doi.org/10.1007/s11182-019-01768-y
Format: Electronic Book Chapter
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=665281

Similar Items

Similar Items