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Abstract |
We investigate a linear two-point boundary value problem whose leading term is a Caputo fractional derivative. The problem appears to be simple, but its solution is not well-behaved near one endpoint of the interval, and our interest is in the design and rigorous analysis of numerical methods that take into account this behaviour. To solve numerically the boundary value problem, we present (i) a finite difference method (ii) a spline collocation method. |
