Open AccessOn the numerical solution of Burgers-Fisher equation by the Strang Splitting Method
Author(s) -
Dadang Amir Hamzah,
M. C. Aprianto
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1764/1/012041
Subject(s) - mathematics , operator splitting , exact solutions in general relativity , operator (biology) , numerical analysis , order of accuracy , invariant (physics) , burgers' equation , mathematical analysis , stability (learning theory) , fisher equation , numerical stability , partial differential equation , mathematical physics , computer science , biochemistry , chemistry , repressor , real interest rate , machine learning , transcription factor , monetary economics , economics , gene , interest rate
In this paper, we apply the Strang splitting method to approximate the solution of Burgers-Fisher equation. This method offers a second-order accurate approximation to evolution equation by combining two non-commuting operators. This accuracy is achieved through a symmetric decomposition in which one operator is applied twice for half timesteps, and the other operator is applied once for a full timestep. The stability criteria is derived using the invariant region. The numerical results obtained are compared with the exact solution. The numerical error shows that the exact and the numerical solution are agrees with each other with a good accuracy.