Results 1 to 10 of about 167 (129)

Numerical Blow-Up Time for a Semilinear Parabolic Equation with Nonlinear Boundary Conditions [PDF]

Journal of Applied Mathematics, 2008
We obtain some conditions under which the positive solution for semidiscretizations of the semilinear equation ut=uxx−a(x,t)f(u ...
Louis A. Assalé, Théodore K. Boni, Diabate Nabongo   +2 more
doaj   +2 more sources

Quenching for discretizations of a semilinear parabolic equation with nonlinear boundary outflux

Journal of Numerical Analysis and Approximation Theory, 2023
In this paper, we study numerical approximations of a semilinear parabolic problem in one-dimension, of which the nonlinearity appears both in source term and in Neumann boundary condition.
Kouakou Cyrille N'Dri, Ardjouma Ganon, Gozo Yoro, Kidjegbo Augustin Touré   +3 more
doaj   +1 more source

Numerical quenching for a semilinear parabolic equation

Mathematical Modelling and Analysis, 2008
This paper concerns the study of the numerical approximation for the nonlinear parabolic boundary value problem with the source term leading to the quenching in finite time.
Diabate Nabongo, Theodore K. Boni
doaj   +1 more source

Quenching for semidiscretizations of a semilinear heat equation with potential and general nonlinearity

Journal of Numerical Analysis and Approximation Theory, 2011
This paper concerns the study of the numerical approximation for the following boundary value problem  \begin{equation*} \begin{cases} u_t(x,t)-u_{xx}(x,t)= -a(x)f(u(x,t)), & 00, \\ u(x,0)= u_{0}(x)>0, & 0\leq x \leq 1, \\ \end{cases} \end{equation*
Halima Nachid
doaj   +2 more sources

A Novel Numerical Algorithm for Singularly Perturbed Parabolic Problems With Discontinuous Convection Coefficient and Source Terms

Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.
In this work, a novel numerical algorithm is presented to solve singularly perturbed parabolic problems with discontinuous convection coefficients and source terms. The problem is approximated using the Crank–Nicolson method in the temporal direction on a uniform mesh and the novel finite difference method in spatial direction.
Mousa J. Huntul, Imiru Takele Daba, Leopoldo Greco   +2 more
wiley   +1 more source

Modeling Spiral Chaos in Predator–Prey Dynamics Using Implicit Integration Factor Schemes

Computational and Mathematical Methods, Volume 2026, Issue 1, 2026.
This paper presents efficient implicit integration factor (IIF) methods as robust alternatives to classical finite difference schemes for the numerical solution of nonlinear time‐dependent reaction–diffusion equations in one and two spatial dimensions.
Kolade M. Owolabi, Sonal Jain, Edson Pindza, Eben Maré, Bapan Ghosh   +4 more
wiley   +1 more source

A Hybrid Computational Approach for Singularly Perturbed Parabolic Differential Equations Involving Small Negative Shift Parameters

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
The present paper addresses the numerical computation of singularly perturbed differential equations incorporating small negative shift parameters in the convection and reaction terms. Since the diffusion term is scaled by a sufficiently small parameter ε(0 < ε ≪ 1), the solution typically develops multiscale characteristics manifested through boundary
Amare Worku Demsie, Awoke Andargie Tiruneh, Endalew Getnet Tsega, Shikha Binwal   +3 more
wiley   +1 more source

Polynomial Stabilization of the Heat Equation on the Half‐Line With Locally Distributed Control Using the Conformable Derivative

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
We study the polynomial stabilization of the heat equation on the half‐line with a locally distributed control, in the framework of the conformable derivative. We show that the stable invariant subspaces generalize naturally and that the stabilization rate becomes t−α(N + 1/4).
Babacar Diouf, Zainoul Habidine Ndiaye, Cheikh Seck, Burhan Tiryakioglu   +3 more
wiley   +1 more source

Recent Advances in Numerical Methods for Stochastic Differential Equations: From Classical Schemes to Wavelet‐Based Techniques

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
Stochastic processes prevail throughout fields as diverse as finance, physics, and biology, demanding increasingly sophisticated mathematical tools. These are the principal components of modeling systems influenced by random forces. The present work offers a structured examination of the solution landscape, progressing from foundational classical ...
Danamma I. Badigannavar, Harinakshi Karkera, Marko Kostic   +2 more
wiley   +1 more source

The Influence of Spindle Speed Variation on the Suppression of Self‐Oscillations During Turning

Shock and Vibration, Volume 2026, Issue 1, 2026.
This paper presents the results of a study examining the effect of the spindle speed variation (SSV) mode on the suppression of self‐oscillations (chatter) during turning. Particular attention is paid to analyzing the effectiveness of the SSV mode for various types of self‐oscillations (regenerative, tangential, and coupled).
Pavlo Tryshyn, Yuriy Vnukov, Olena Kozlova, Shuang Li   +3 more
wiley   +1 more source