A numerical approach for a class of time-fractional reaction–diffusion equation through exponential B-spline method
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A numerical approach for a class of time-fractional reaction–diffusion equation through exponential B-spline method is presented in this paper. The proposed scheme is a combination of Crank–Nicolson method for the Caputo time derivative and exponential B-spline method for space derivative. The unconditional stability and convergence of the proposed scheme are presented. Several numerical examples are presented to illustrate the feasibility and efficiency of the proposed scheme.
KeywordsTime-fractional reaction–diffusion equation Caputo derivative Exponential B-spline method Stability Convergence
Mathematics Subject Classification35R11 65M12 65M70 65Y99
Authors are grateful to the anonymous reviewers for their insightful comments leading to the improved manuscript. The second author is thankful to the University Grants Commission of India for support under SRF scheme (Sr.No. 2061440951, reference no.22/06/14(i)EU-V).
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