Bernoulli wavelet method for numerical solution of anomalous infiltration and diffusion modeling by nonlinear fractional differential equations of variable order

Simple item page
dc.contributor.advisor
dc.contributor.authorChouhan, Devendra
dc.contributor.authorMishra, Vinod
dc.contributor.authorSrivastava, H.M.
dc.date.accessioned2021-03-01T23:28:03Z
dc.date.available2021-03-01T23:28:03Z
dc.date.copyright2021en_US
dc.date.issued2021
dc.description.abstractIn this paper, generalized fractional-order Bernoulli wavelet functions based on the Bernoulli wavelets are constructed to obtain the numerical solution of problems of anomalous infiltration and diffusion modeling by a class of nonlinear fractional differential equations with variable order. The idea is to use Bernoulli wavelet functions and operational matrices of integration. Firstly, the generalized fractional-order Bernoulli wavelets are constructed. Secondly, operational matrices of integration are derived and utilize to convert the fractional differential equations (FDE) into a system of algebraic equations. Finally, some numerical examples are presented to demonstrate the validity, applicability and accuracy of the proposed Bernoulli wavelet method.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.identifier.citationChouhan, D., Mishra, V., & Srivastava, H. M. (2021). Bernoulli wavelet method for numerical solution of anomalous infiltration and diffusion modeling by nonlinear fractional differential equations of variable order. Results in Applied Mathematics, 10, 1-13. https://doi.org/10.1016/j.rinam.2021.100146.en_US
dc.identifier.urihttps://doi.org/10.1016/j.rinam.2021.100146
dc.identifier.urihttp://hdl.handle.net/1828/12730
dc.language.isoenen_US
dc.publisherResults in Applied Mathematicsen_US
dc.subjectGeneralized fractional-order Bernoulli waveletsen_US
dc.subjectVariable order fractional differential equationsen_US
dc.subjectOperational matrixen_US
dc.subjectLiouville-Caputo fractional derivativeen_US
dc.titleBernoulli wavelet method for numerical solution of anomalous infiltration and diffusion modeling by nonlinear fractional differential equations of variable orderen_US
dc.typeArticleen_US

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Chouhan_Devendra_ResultsApplMath_2021.pdf
Size:
890.25 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 Publications (BioMed Central & Faculty of Science)
 
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.