Exponential B-spline collocation method for singularly perturbed time-fractional delay parabolic reaction-diffusion equations
DOI:
https://doi.org/10.33993/jnaat533-1454Keywords:
Delay Parabolic reaction-diffusion, Time-fractional, Exponential B-spline Collocation MethodAbstract
The singularly perturbed time-fractional delay parabolic reaction-diffusion of initial boundary value problem is provided by the present study. Employing implicit Euler's method along with the Caputo fractional derivative, the time-fractional is discretized. Spatial domain is handled by implementing the exponential B-spline collocation technique. The converge of the method is varified and has an accuracy of \(O(N^{-2}(lnN)^{2})\). Two model examples are examined in order to examine the extent to which the scheme is effective. The findings generated by tables and figures indicate the scheme has dual layers at the end spatial domain and is uniformly convergent.
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