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Partial Differential Equations in Applied Mathematics
Scopus
ISSN 2666-8181 · Elsevier · 1,096 articles in the index
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Journal Article
Comment on the paper “Sk Enamul, Seetalsmita Samal, Surender Ontela, Partial Differential Equations in Applied Mathematics 13 (2025) 101,073”
Four serious errors exist in the above paper.
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Journal Article
Lie symmetry and memory-driven dynamics of a (2+1)-dimensional time-fractional nonlinear wave equation in memory media
In the present work, we focus on discussing detailed analysis and important features of a (2+1)-dimensional nonlinear time-fractional diffusion-wave equation. The equation models wave phenomena in materials where memory effects play an important role, for example porous mediums and viscoelastic…
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Journal Article
Significance of thermal jump in hybrid nanomaterial with nonlinear thermal radiation and porous space
Investigators have commonly recognized hybrid nanomaterials for their involvement in automobiles, solar heaters, battery-powered engines, pharmaceutical phenomena, domestic refrigerator, food processing, heating, cooling in manufacturing, ventilation and air conditioning. Especially the…
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Journal Article
Heat generation effect on 3D MHD flow of Casson fluid via stretching/shrinking surface with velocity slip Condition
There are extensive range of applications related to nuclear industry, industrial manufacturing, science and engineering processing, in which the boundary layer hydromagnetic motion of Casson liquids perform vital role. Casson liquid is a useful liquid in the nuclear industry for optimizing the…
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Journal Article
Exact difference approach on the Shishkin mesh for solving time fractional singularly perturbed parabolic PDE
A novel approach has been introduced to address time-fractional singularly perturbed parabolic partial differential equations. This method utilizes the L1-Caputo finite difference technique to approximate the fractional derivative term and employs an exact difference scheme for spatial derivative…
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Journal Article
Darcy-forchheimer bioconvection flow of nanofluid with thermophoretic effects and nonlinear thermal radiation
A two-dimensional flow and heat and mass transfer for Darcy-Forchheimer nanofluid over an exponentially stretching sheet has been studied. The model includes a transverse magnetic field along with Brownian diffusion, significance of thermophoretic and first-order chemical reaction. The…
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Journal Article
Effects of diffusion on the tumour regression in exposure to the non-ionizing electromagnetic waves
This study investigates the evolution of various cell types in a tumor-bearing host exposed to specific electromagnetic waves. The proposed system models these interactions by incorporating immune and tumor cells, as well as two primary types of cytokines, interleukin-2 (IL-2) and cytotoxic T…
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Promoted analytical solutions of conformable Ginzburg-Landau applied in Bose-Einstein condensate with external potentials
This work concerns the construction of the approximate analytical solutions for the nonlinear complex conformable Ginzburg-Landau equations with external potential using the conformable residual series method. The governing model plays a pivotal role in modeling complex physical phenomena such as…
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Journal Article
Characteristics of stephan blowing and thermal radiation on williamson nanofluid with thermal non-equilibrium effect using bayesian-regularization optimizer-deep neural network
The purpose of this examination is to assess the effect of Stephan blowing and thermal radiation on chemical reactive flow of Williamson nanofluid flow across a sheet with Marangoni convection. Rapid advancements in technology have led to tremendous growth in the domains of machine learning and…
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Journal Article
Quintic nonlinearity enables modulation instability in normal dispersion regimes for spectral control
Modulation instability in cubic-quintic nonlinear media is rigorously analyzed using an extended nonlinear Schrödinger equation framework. Results demonstrate that focusing quintic nonlinearity (γ5 > 0) reduces the critical power for instability onset by 40%–60% relative to cubic systems while…
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Journal Article
Boundary element method for Laplace equation in a ring domain
In this paper, we present a rapid procedure for approximating the solution to the Laplace equation in a ring domain. We develop a new formulation of boundary integral operators and implement an efficient solution approach using the Galerkin boundary element method for Dirichlet and mixed boundary…
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Journal Article
Spectral numerical method for fractional order partial differential equations using Katugampola derivative
In this paper, we investigate the Telegraph fractional partial differential equations (FPDEs) with Katugampola derivative. The said derivative is a generalized form of traditional fractional order derivative. Since, for every FPDEs to find exact solution is very difficult task, therefore…
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Journal Article
Bell wavelets method to solve class of fractional differential equations arising in fluid mechanics
This study introduces a new Bell wavelet matrix method to solve a class of fractional differential equations arising in fluid mechanics. The class under consideration comprises the fractional relaxation-oscillation equation (R-OE) as a special case. In this work, the Bell wavelets are constructed…
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An improved modified simplest equation method for exact solitary wave solutions of the three-dimensional nonlinear fractional wazwaz-benjamin-bona-mahony model
In this study, we suggest an improved modified simplest equation (IMSE) approach to obtain distinct analytical solutions of the three-dimensional nonlinear fractional Wazwaz-Benjamin-Bona-Mahony (FWBBM) model associated with the conformable derivative. The suggested IMSE approach extends the…
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Journal Article
Influence of non-linear motion on mixed convection in viscous fluids with temperature-dependent thermal conductivity and oscillating thermal wave
This study investigates the effects of non-linear motion on mixed convection viscous fluid flow, incorporating thermal conductivity inversely proportional to a linear function of temperature under the influence of oscillating thermal waves. To provide a comprehensive understanding, the research…
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