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A non-local boundary value problem with Caputo fractional derivative of order $$1 Click to show full abstract
A non-local boundary value problem with Caputo fractional derivative of order $$1<\nu <2$$ is considered in this article. A numerical method comprising of an upwind difference scheme which is used to approximate the convection term and an $$L_2$$ approximation of Caputo fractional derivative on an uniform mesh is constructed. Error estimate is derived. Numerical results are presented which validate our numerical method.
Keywords:
numerical method;
local boundary;
boundary value;
caputo fractional;
non local
Journal Title: Journal of Applied Mathematics and Computing
Year Published: 2021
Link to full text (if available)
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Journal Title: Journal of Applied Mathematics and Computing
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!