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High-order adaptive KC time-stepping schemes for FDEs

version 1.0.1 (15.5 KB) by Daniel Baffet
High-order accurate, adaptive, kernel compression schemes for fractional differential equations

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Updated 09 Nov 2019

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An implementation of efficient and accurate kernel compression time-stepping schemes for the adaptive solution of fractional differential equations. The schemes are high order accurate, error controlled and fully adaptive. Kernel compression based an a Gauss-Jacobi rule provides an efficient approximation of the history term. Integral deferred correction methods provide high order approximations of the local Volterra equation.

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Daniel Baffet (2019). High-order adaptive KC time-stepping schemes for FDEs (https://www.mathworks.com/matlabcentral/fileexchange/73137-high-order-adaptive-kc-time-stepping-schemes-for-fdes), MATLAB Central File Exchange. Retrieved .

Baffet, Daniel. “A Gauss–Jacobi Kernel Compression Scheme for Fractional Differential Equations.” Journal of Scientific Computing, vol. 79, no. 1, Springer Science and Business Media LLC, Oct. 2018, pp. 227–48, doi:10.1007/s10915-018-0848-x.

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Baffet, Daniel, and Jan S. Hesthaven. “High-Order Accurate Adaptive Kernel Compression Time-Stepping Schemes for Fractional Differential Equations.” Journal of Scientific Computing, vol. 72, no. 3, Springer Science and Business Media LLC, Feb. 2017, pp. 1169–95, doi:10.1007/s10915-017-0393-z.

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Updates

1.0.1

Corrected a small bug

MATLAB Release Compatibility
Created with R2015b
Compatible with R2015b to any release
Platform Compatibility
Windows macOS Linux

GJ_KC_adapt

GJ_KC_adapt/core

GJ_KC_adapt/core/DIRK4_3

GJ_KC_adapt/core/GJ_KC

GJ_KC_adapt/core/IDCLER_RK

GJ_KC_adapt/core/IDCTR_RK

GJ_KC_adapt/core/quad