Abstract
This paper refers to mathematical modelling and numerical analysis. The analysis to be presented through this paper deals with Robin’s problem which boundary equation is a linear combination of Dirichlet and Neumann-type boundary condi-tions. For this purpose we proved the existence and uniqueness of the solution. It is worth noting that the implementation of numerical simulations depends on the type of problem since it requires a search for explicit solution. Consequently, the motivation exists in this paper for choosing a classical method of variation of constants and employing a finite difference method to find the exact and numerical solutions, respectively so that numerical simulations were implemented in Scilab.
Highlights
Let Ω be a bounded domain in RN, N 1, with boundary ∂Ω
It is worth noting that the implementation of numerical simulations depends on the type of problem since it requires a search for explicit solution
The motivation exists in this paper for choosing a classical method of variation of constants and employing a finite difference method to find the exact and numerical solutions, respectively so that numerical simulations were implemented in S cilab
Summary
We shall consider the following Robin elliptic boundary value problem Where u is the solution of problem, f ∈ L2(Ω), g ∈ L2(∂Ω), η is the exterior normal to the boundary ∂Ω of the domain Ω. It is appropriate to choose a classical method of variation of constants for the one-dimensional Robin problem to be solved exactly. The problem will be solved numerically and analytically by using the finite difference method and the classical method of variation of constants, respectively. Using these solutions, numerical simulation will be implemented in S cilab
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
