Results 31 to 40 of about 16,499 (156)

Numerical Solution of a Kind of Fractional Parabolic Equations via Two Difference Schemes

Abstract and Applied Analysis, 2013
A kind of parabolic equation was extended to the concept of fractional calculus. The resulting equation is, however, difficult to handle analytically. Therefore, we presented the numerical solution via the explicit and the implicit schemes.
Abdon Atangana, Dumitru Baleanu
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Trudinger's parabolic equation

Discrete and Continuous Dynamical Systems
We study the uniqueness of non-negative solutions of the equation \begin{align*} \partial_t\left(|u|^{p-2}u\right)\,=\, \operatorname{div}(|\nabla u|^{p-2}\nabla u). \end{align*} Basic estimates are derived with the Galerkin Method.
Lindqvist, Peter, Parviainen, Mikko, Sarsa, Saara   +2 more
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Optical Solitons in Fiber Bragg Gratings with Dispersive Reflectivity Having Five Nonlinear Forms of Refractive Index

Axioms, 2022
This paper implements the trial equation approach to retrieve cubic–quartic optical solitons in fiber Bragg gratings with the aid of the trial equation methodology. Five forms of nonlinear refractive index structures are considered. They are the Kerr law,
Ming-Yue Wang, Anjan Biswas, Yakup Yıldırım, Hashim M. Alshehri, Luminita Moraru, Simona Moldovanu   +5 more
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Qualitative analysis and optical solitons for the (1+1)-dimensional Biswas-Milovic equation with parabolic law and nonlocal nonlinearity

Results in Physics
In this paper, the (1+1)-dimensional Biswas-Milovic equation with parabolic law and nonlocal nonlinearity is studied. Firstly, the Biswas-Milovic equation with parabolic law and nonlocal nonlinearity is transformed into ordinary differential equation ...
Zhao Li, Ejaz Hussain
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Symmetry of Ancient Solution for Fractional Parabolic Equation Involving Logarithmic Laplacian

Fractal and Fractional, 2023
In this research, we focus on the symmetry of an ancient solution for a fractional parabolic equation involving logarithmic Laplacian in an entire space. In the process of studying the property of a fractional parabolic equation, we obtained some maximum
Wei Zhang, Yong He, Zerong Yang
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Variable Step Size Solution of Standard Parabolic Equation in Complex Environment

Xibei Gongye Daxue Xuebao, 2019
Aiming at the problem that it is difficult to balance the accuracy and velocity of the fixed-step solution of standard parabolic equation in the study of radio wave propagation in a wide range of complex environments, a variable-step solution method of ...

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Boundary value problems for discontinuously loaded parabolic equations

Вестник Самарского университета: Естественнонаучная серия
The article deals with boundary value problems for a discontinuously loaded parabolic equation with a Riemann – Liouville fractional integro-differentiation operator with variable coefficients.
Mukhamed M. Karmokov, Fatima M. Nakhusheva, Sakinat K. Gekkieva   +2 more
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Classical and weak solutions of the partial differential equations associated with a class of two-point boundary value problems

Boundary Value Problems, 2018
This paper is concerned with a kind of first-order quasilinear parabolic partial differential equations associated with a class of ordinary differential equations with two-point boundary value problems. We prove that the function given by the solution of
Ning Ma, Zhen Wu
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On the Weak Characteristic Function Method for a Degenerate Parabolic Equation

Journal of Function Spaces, 2019
For a nonlinear degenerate parabolic equation, how to impose a suitable boundary value condition to ensure the well-posedness of weak solutions is a very important problem.
Huashui Zhan
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A cell complex structure for the space of heteroclines for a semilinear parabolic equation

Electronic Journal of Differential Equations, 2009
It is well known that for many semilinear parabolic equations there is a global attractor which has a cell complex structure with finite dimensional cells.
Michael Robinson
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