Exact Solutions and Numerical Solutions of Differential Equations, 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: 20 September 2025 | Viewed by 79

Special Issue Editors


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Guest Editor
1. Department of Mathematical Sciences, North-West University, Private Bag X 2046, Mmabatho 2735, South Africa
2. Department of Mathematics, Faculty of Science, University of Botswana, Private Bag 22, Gaborone, Botswana
Interests: symmetries of differentials equations; soliton theory
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E-Mail Website
Guest Editor
Department of Mathematical Sciences, University of South Africa, UNISA, Pretoria 0003, South Africa
Interests: conservation laws of partial differentials equations; mathematical physics
Special Issues, Collections and Topics in MDPI journals
Department of Mathematics, University of Botswana, Private Bag UB00704, Gaborone, Botswana
Interests: numerical analysis; monotone nonlinear equations; optimization
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Nonlinear differential equations play a significant role in many real-life phenomena, such as in fluid dynamics, optics, acoustics, plasma physics, engineering, and in many other areas of nonlinear science. Thus, it is vital to find solutions to these equations in order to understand and interpret the structure modeled by them.

Moreover, researchers have developed a variety of analytical and numerical techniques that can be employed to solve nonlinear differential equations. Some of the well-known techniques include the Lie symmetry method, the inverse scattering transformation approach, Ansatz methods, multistep methods, finite difference/element/volume methods, and many other techniques enumerated in the literature.

This Special Issue will be devoted to unveiling the most recent progress in obtaining analytical and numerical solutions to nonlinear differential equations via various methods and to stimulating collaborative research activities.

Dr. Ben Muatjetjeja
Prof. Dr. Abdullahi Adem
Dr. P. Kaelo
Guest Editors

Manuscript Submission Information

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Keywords

  • symmetries of differential equations
  • soliton theory conservation laws of partial differential equations
  • mathematical physics
  • numerical analysis
  • monotone nonlinear equations

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