All Research Papers Published In Partial Differential Equations in Applied Mathematics

Research Article
3
10.1016/j.padiff.2025.101218

Mathematical modeling of lumpy skin disease: New perspectives and insights

Jun 01, 2025
Partial Differential Equations in Applied Mathematics
Goutam Saha + 3 more +3

Research Article
3
10.1016/j.padiff.2025.101202

Deterministic and stochastic models for analyzing the dynamics of diabetes mellitus

Jun 01, 2025
Partial Differential Equations in Applied Mathematics
Munkaila Dasumani + 4 more +4

Research Article
2
10.1016/j.padiff.2025.101140

Mathematical modelling of the Phenol-Polyphenol Oxidase system for amperometric immobilized enzymes at spherical electrode

Jun 01, 2025
Partial Differential Equations in Applied Mathematics
M Elakkya + 1 more +1

Research Article
10.1016/j.padiff.2025.101221

Analytical and numerical investigations of slip flow in a Jeffery-Hamel configuration within a converging microchannel incorporating a step variation in wall temperature and the effects of radial heat conduction

Jun 01, 2025
Partial Differential Equations in Applied Mathematics
Elhoucine Essaghir + 4 more +4

Research Article
3
10.1016/j.padiff.2025.101150

Fractional order modeling of dengue transmission dynamics in Bangladesh

Jun 01, 2025
Partial Differential Equations in Applied Mathematics
Arun Kumar Sikder + 1 more +1

Research Article
10.1016/j.padiff.2025.101196

Numerical investigation of a fractional order differential human papillomavirus model using time delay neural network

Jun 01, 2025
Partial Differential Equations in Applied Mathematics
Dostdar Ali + 7 more +7

Research Article
1
10.1016/j.padiff.2025.101194

Computational scheme for the numerical solution of fractional order pantograph delay-integro-differential equations via the Bernstein approach

Jun 01, 2025
Partial Differential Equations in Applied Mathematics
E Aourir + 3 more +3

The main objective of this research is to provide an efficient computational algorithm for solving a class of fractional order pantograph delay-integro-differential equations. The Bernstein approximation technique is employed for approximating the solutions of such equations by taking into account the properties of Bernstein polynomials, which transform the original problem into a simplified linear system of algebraic equations. The formulation of the suggested scheme is carefully described, and its convergence performance is examined. Both existence and uniqueness theorems are provided to establish the theoretical reliability of the methodology. Additionally, an estimation of the error bounds is reported to evaluate the precision of the approximation. The reliability, stability and computational effectiveness of the algorithm developed are confirmed by a series of numerical experiments. A comparative analysis with other available methodologies and analytical solutions further highlights the practicality and robustness of the new technique, offering reduced computational and memory costs.

Research Article
10.1016/j.padiff.2024.101040

A linear hydraulic fracture with tortuosity and fluid–slip at the fluid–rock interface

Mar 01, 2025
Partial Differential Equations in Applied Mathematics
M.r.r Kgatle-Maseko + 1 more +1

Research Article
2
10.1016/j.padiff.2024.101032

Heat Transfer Enhancement in Flow Between Two Rotating Disks Using Ternary Nanoparticles: A Computational Study

Mar 01, 2025
Partial Differential Equations in Applied Mathematics
S Bilal + 3 more +3

Research Article
10.1016/j.padiff.2024.101046

On the reduction and solution of the reverse space-time nonlocal Fokas–Lenells equation

Mar 01, 2025
Partial Differential Equations in Applied Mathematics
Sohaib Al-Ramadhani

Fokas–Lenells equation is a dynamical system used to model propagation of nonlinear pulses. Different reductions of the Fokas–Lenells system lead to various formulas of the equation including local and nonlocal versions. In addition, different approaches have been employed in the literature to explore the solutions of the Fokas–Lenells equations. In this paper we propose a reverse space-time reduction that leads to a nonlocal version of the Fokas–Lenells model. Furthermore, we present a calculation of the solution of the proposed equation based on known results in the literature from the Hirota bilinear direct method. The one-soliton and two-soliton solutions have been explicitly described and graphically illustrated.