| About this Abstract |
| Meeting |
NUMISHEET 2022: The 12th International Conference on Numerical Simulation of 3D Sheet Metal Forming Processes
|
| Symposium
|
NUMISHEET 2022
|
| Presentation Title |
Constructing Exact Solutions to Modelling Problems |
| Author(s) |
Mathew Olajiire Aibinu, Surendra Colin Thakur, Sibusiso Moyo |
| On-Site Speaker (Planned) |
Mathew Olajiire Aibinu |
| Abstract Scope |
Modelling of several processes and phenomena which occur in sciences and engineering often lead to Nonlinear Partial Differential Equations (NPDEs). Reaction-diffusion systems are members of NPDEs which can be described as mathematical models with applications in diverse physical phenomena. Obtaining the solutions of modelling problems is often a big challenge due to several conditions and parameters which are involved. This study demonstrates how to construct the solutions of modelling problems. A modified method of functional constraints is proposed for constructing exact solutions to nonlinear equations of reaction-diffusion type with delay and which are associated with variable coefficients. Arbitrary functions are present in the solutions, and they also contain free parameters, which make them suitable for usage in solving certain modelling problems, testing numerical and approximate analytical methods. Specific examples of nonlinear equations of reaction-diffusion type with delay are given and their exact solutions are presented and displayed graphically. |
| Proceedings Inclusion? |
Definite: At-meeting proceedings |