Nonlinear pantograph-type diffusion PDEs: Exact solutions and the principle of analogy
AD Polyanin, VG Sorokin - Mathematics, 2021 - mdpi.com
We study nonlinear pantograph-type reaction–diffusion PDEs, which, in addition to the
unknown u= u (x, t), also contain the same functions with dilated or contracted arguments of …
unknown u= u (x, t), also contain the same functions with dilated or contracted arguments of …
Reductions and exact solutions of nonlinear wave-type PDEs with proportional and more complex delays
AD Polyanin, VG Sorokin - Mathematics, 2023 - mdpi.com
The study gives a brief overview of publications on exact solutions for functional PDEs with
delays of various types and on methods for constructing such solutions. For the first time …
delays of various types and on methods for constructing such solutions. For the first time …
Дифференциальные уравнения с запаздыванием: Свойства, методы, решения и модели
АД Полянин, ВГ Сорокин, АИ Журов - М.: ИПМех РАН, 2022 - elibrary.ru
Книга посвящена линейным и нелинейным обыкновенным дифференциальным
уравнениям и уравнениям в частных производных с постоянным и переменным …
уравнениям и уравнениям в частных производных с постоянным и переменным …
Accelerated homotopy perturbation elzaki transformation method for solving nonlinear partial differential equations
S Jasrotia, P Singh - Journal of Physics: Conference Series, 2022 - iopscience.iop.org
Abstract In this paper, Accelerated Homotopy perturbation Elzaki Transformation Method
(AHPETM) is applied to obtained an approximate series solution of the nonlinear partial …
(AHPETM) is applied to obtained an approximate series solution of the nonlinear partial …
Convergence Analysis of Hybrid Homotopy Perturbation KT-Transform Method and its Applications for Solving Non-linear PDE's
D Grover, RK Seth - Journal of Vibration Engineering & Technologies, 2025 - Springer
Purpose The present study aims to develop a reliable combination of Homotopy
Perturbation method KT-Transform. Convergence Analysis has been also carried out …
Perturbation method KT-Transform. Convergence Analysis has been also carried out …
Comparative study of two techniques on some nonlinear problems based ussing conformable derivative
A Zulfiqar, J Ahmad - Nonlinear Engineering, 2020 - degruyter.com
In this paper, three eminent types of time-fractional nonlinear partial differential equations
are considered, which are the fractional foam drainage equation, fractional Gardner …
are considered, which are the fractional foam drainage equation, fractional Gardner …
РЕШЕНИЯ ЛИНЕЙНЫХ НАЧАЛЬНО-КРАЕВЫХ ЗАДАЧ ДЛЯ УРАВНЕНИЙ ТИПА КЛЕЙНА–ГОРДОНА С ПОСТОЯННЫМ И ПРОПОРЦИОНАЛЬНЫМ …
ВГ Сорокин - Вестник НИЯУ МИФИ, 2023 - vestnikmephi.elpub.ru
Аннотация Рассматриваются одномерные линейные однородные уравнения типа
Клейна–Гордона с постоянным и пропорциональным запаздыванием, которые помимо …
Клейна–Гордона с постоянным и пропорциональным запаздыванием, которые помимо …
Exact Solutions and Reductions of Nonlinear Diffusion PDEs of Pantograph Type
AD Polyanin, VG Sorokin - arXiv preprint arXiv:2103.01666, 2021 - arxiv.org
We study nonlinear pantograph-type reaction-diffusion PDEs, which, in addition to the
unknown $ u= u (x, t) $, also contain the same functions with dilated or contracted arguments …
unknown $ u= u (x, t) $, also contain the same functions with dilated or contracted arguments …
[PDF][PDF] D.; Sorokin, VG Nonlinear Pantograph-Type Diffusion PDEs: Exact Solutions and the Principle of Analogy
A Polyanin - Appl. Math. Lett, 2015 - academia.edu
We study nonlinear pantograph-type reaction–diffusion PDEs, which, in addition to the
unknown u= u (x, t), also contain the same functions with dilated or contracted arguments of …
unknown u= u (x, t), also contain the same functions with dilated or contracted arguments of …