Numerical treatments of nonlinear Burgers–Fisher equation via a combined approximation technique

Simple item page
dc.contributor.authorIzadi, Mohammad
dc.contributor.authorSrivastava, Hari Mohan
dc.date.accessioned2024-02-09T23:14:36Z
dc.date.available2024-02-09T23:14:36Z
dc.date.copyright2023en_US
dc.date.issued2023
dc.description.abstractA combined spectral matrix collocation strategy is presented to solve the time-dependent nonlinear Burgers–Fisher equation pertaining to various important physical mechanisms such as advection, diffusion, and logistic reaction. The nonlinearity of the model is first tackled by a time-marching scheme based on the Taylor formula. Hence in each time step, we solve a linear initial boundary value problem (IBVP) by using the spectral collocation technique based on novel Boole polynomials. Various numerical computations are carried out to indicate the pertinent features and testify the applicability of the presented combined technique. Comparisons are made between our results and the exact analytical solutions and some available numerical outcomes in the literature to show the validity of the method.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.identifier.citationIzadi, M., & Srivastava, H. M. (2023). Numerical treatments of nonlinear Burgers–Fisher equation via a combined approximation technique. Kuwait Journal of Science, 100163. https://doi.org/10.1016/j.kjs.2023.12.003en_US
dc.identifier.urihttps://doi.org/10.1016/j.kjs.2023.12.003
dc.identifier.urihttp://hdl.handle.net/1828/15987
dc.language.isoenen_US
dc.publisherKuwait Journal of Scienceen_US
dc.subjectBoole polynomials
dc.subjectBurgers–Fisher equation
dc.subjectTaylor expansion
dc.subjectconvergence analysis
dc.subjectcollocation points
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleNumerical treatments of nonlinear Burgers–Fisher equation via a combined approximation techniqueen_US
dc.typeArticleen_US

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
izadi_mohammad_KuwaitJSci_2023.pdf
Size:
755.3 KB
Format:
Adobe Portable Document Format
Description:
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
2 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Faculty and Staff Publications
 
University of Victoria Libraries

We acknowledge and respect the Lək̓ʷəŋən (Songhees and Esquimalt) Peoples on whose territory the university stands, and the Lək̓ʷəŋən and W̱SÁNEĆ Peoples whose historical relationships with the land continue to this day.