Asset Details
Do you wish to reserve the book?
ERROR ANALYSIS FOR A FRACTIONAL-DERIVATIVE PARABOLIC PROBLEM ON QUASI-GRADED MESHES USING BARRIER FUNCTIONS
Hey, we have placed the reservation for you!
By the way, why not check out events that you can attend while you pick your title.
Oops! Something went wrong.
Looks like we were not able to place the reservation. Kindly try again later.
Are you sure you want to remove the book from the shelf?
ERROR ANALYSIS FOR A FRACTIONAL-DERIVATIVE PARABOLIC PROBLEM ON QUASI-GRADED MESHES USING BARRIER FUNCTIONS
Do you wish to request the book?
ERROR ANALYSIS FOR A FRACTIONAL-DERIVATIVE PARABOLIC PROBLEM ON QUASI-GRADED MESHES USING BARRIER FUNCTIONS
Please be aware that the book you have requested cannot be checked out. If you would like to checkout this book, you can reserve another copy
We have requested the book for you!
Your request is successful and it will be processed during the Library working hours. Please check the status of your request in My Requests.
Oops! Something went wrong.
Looks like we were not able to place your request. Kindly try again later.
Journal Article
ERROR ANALYSIS FOR A FRACTIONAL-DERIVATIVE PARABOLIC PROBLEM ON QUASI-GRADED MESHES USING BARRIER FUNCTIONS
2020
Overview
An initial-boundary value problem with a Caputo time derivative of fractional order α ϵ (0, 1) is considered, solutions of which typically exhibit a singular behavior at an initial time. For this problem, we give a simple and general numerical-stability analysis using barrier functions, which yields sharp pointwise-in-time error bounds on quasi-graded temporal meshes with arbitrary degree of grading. L1-type and Alikhanov-type discretization in time are considered. In particular, those results imply that milder (compared to the optimal) grading yields optimal convergence rates in positive time. Semidiscretizations in time and full discretizations are addressed. The theoretical findings are illustrated by numerical experiments.
Publisher
Society for Industrial and Applied Mathematics
We currently cannot retrieve any items related to this title. Kindly check back at a later time.