Partial Differential Equations with Applications: Analytical Methods, 2nd Edition
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "C1: Difference and Differential Equations".
Deadline for manuscript submissions: 31 May 2025 | Viewed by 1483
Special Issue Editors
Interests: partial differential equations; ordinary differential equations; solutions of differential equations; applications to differential equations
Special Issues, Collections and Topics in MDPI journals
Interests: nonlinear differential equations; Lie symmetry method; closed-form solutions; conservation laws; mathematical physics; analytical solution methods
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
Differential equations are essential to describe a real-world system as a mathematical model. In particular, partial differential equations are used extensively in physics and engineering, where the problems involve functions of several variables, such as the propagation of heat or sound, fluid flow, elasticity, etc.
In recent years, several methods have been developed to find analytical solutions to partial differential equations. Currently, symmetry methods are intensively applied to solve partial differential equations, thereby obtaining exact analytic solutions.
Moreover, identifying conservation laws or conserved quantities plays an important role in the solution of a problem.
Furthermore, there has been considerable research in Painlevé-type equations since 1980. Specifically, the Painlevé tests are remarkable in their ability to predict whether an equation is integrable.
The aim of this Special Issue is to show recent advances in the theory of partial differential equations, as well as applications to scientific problems.
As the title suggests, this Special Issue is a continuation of the Special Issue “Partial Differential Equations with Applications: Analytical Methods”, which has successfully included some excellent papers. We hope that this new Special Issue will attract the attention of more scholars who wish to publish their interesting insights.
Prof. Dr. Almudena del Pilar Marquez Lozano
Prof. Dr. Chaudry Masood Khalique
Guest Editors
Manuscript Submission Information
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Keywords
- partial differential equations
- ordinary differential equations
- mathematical model
- analytical solutions
- solution techniques
- Lie symmetries
- conservation laws
- symmetry methods
- Painlevé properties
- Painlevé test
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