Numerical Methods for Solving the Robin Boundary Value Problem for a Generalized Diffusion Equation with a Non-smooth Solution

Nikki Kedia,Vineet Kumar Singh,Anatoly A Alikhanov

doi:10.1007/978-3-030-97020-8_20

Numerical Methods for Solving the Robin Boundary Value Problem for a Generalized Diffusion Equation with a Non-smooth Solution

Nikki Kedia, Vineet Kumar Singh + Show 1 more

https://doi.org/10.1007/978-3-030-97020-8_20

Copy DOI

Publication Date: Jan 1, 2022

Citations: 1

Affiliation: Banaras Hindu University, North-Caucasus Federal University

#Non-smooth Solution #Difference Scheme Of Order + Show 8 more

Abstract
Full-Text PDF
Similar Papers

Abstract

Solutions of Robin boundary value problem for a generalized diffusion equation with a non-smooth solution are studied. The Caputo derivative in the generalized sense has been discretized by using a difference scheme of order \((2-\alpha )\) on a non-uniform mesh with \(0<\alpha <1\) in the temporal direction. Test example shows how the grading of the mesh is essential for non-smooth solution and using such kind of mesh generate stronger results.KeywordsGeneralized L1 schemeGeneralized Fractional derivativeNon-uniform mesh

Full Text

Paper version not known

Open DOI Link

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 call

Similar Papers

Paper Title

Journal

Date

Author

View more papers

Disclaimer: 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.