Abstract
In the present paper we construct second order shifted approximations for the first derivative which have exponential and logarithmic generating functions. Applications of the approximations for numerical solution of first order ordinary differential equations and the heat equation are studied in the paper.
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Acknowledgements
The present study was initiated and implemented with the support of the National Science Program “Young Scientists and Postdoctoral Students”. We express our gratitude for the concern for the young researchers, scientists and professors of Bulgaria. The first author Venelin Todorov is supported by Task 1.2.5 “Prediction and Guarantee of the Quality of Service in Human-Cyber-Physical Systems” of the Bulgarian National Scientific Program “Information and Communication Technologies for a Single Digital Market in Science, Education and Security” (ICT in SES), financed by the Ministry of Education and Science.
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Todorov, V., Dimitrov, Y., Dimov, I. (2021). Second Order Shifted Approximations for the First Derivative. In: Dimov, I., Fidanova, S. (eds) Advances in High Performance Computing. HPC 2019. Studies in Computational Intelligence, vol 902. Springer, Cham. https://doi.org/10.1007/978-3-030-55347-0_36
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DOI: https://doi.org/10.1007/978-3-030-55347-0_36
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