Michal Feckan, Kateryna Marynets
Abstract:
We study a nonlinear fractional boundary value problem (BVP) subject to
non-local multipoint boundary conditions. By introducing an appropriate
parametrization technique we reduce the original problem to an equivalent
one with already two-point restrictions. Using a notion of Chebyshev nodes
and Lagrange polynomials we construct a successive iteration scheme,
that converges to the exact solution of the non-local problem for particular
values of the unknown parameters, which are calculated numerically.
Submitted February 23, 2023. Published September 11, 2023.
Math Subject Classifications: 34A08, 34K07, 34K28.
Key Words: Caputo derivative; non-local boundary conditions; Chebyshev nodes;
approximation of solutions; Lagrange polynomial interpolation; predator-prey model.
DOI: 10.58997/ejde.2023.58
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Michal Feckan Department of Mathematical Analysis and Numerical Analysis Comenius University in Bratislava Mlynska dolina, 842 48 Bratislava, Slovakia email: michal.feckan@fmph.uniba.sk |
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Kateryna Marynets Delft Institute of Applied Mathematics Faculty of Electrical Engineering Mathematics and Computer Science Delft University of Technology Mekelweg 4 2628CD Delft, Netherlands email: K.Marynets@tudelft.nl |
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