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Application of two-dimensional hat functions for solving space-time integral equations

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Abstract

In this paper, we introduce two-dimensional hat functions and derive operational matrix of integration of these functions. Then, we utilize them to solve some classes of integral equations. The method is based upon expanding functions as their truncated hat functions. Also, an error analysis is provided under several mild conditions. Illustrative examples are included to demonstrate the validity, efficiency and applicability of the method.

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Acknowledgments

We would like to thank the referees for their revising, comments and suggestions which helped us to improve the presentation of the paper.

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  1. Faculty of Mathematical Sciences and Statistics, Malayer University, P. O. Box 65719-95863, Malayer, Iran

    Farshid Mirzaee & Elham Hadadiyan

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  1. Farshid Mirzaee
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  2. Elham Hadadiyan
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Correspondence to Farshid Mirzaee.

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Mirzaee, F., Hadadiyan, E. Application of two-dimensional hat functions for solving space-time integral equations. J. Appl. Math. Comput. 51, 453–486 (2016). https://doi.org/10.1007/s12190-015-0915-5

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  • DOI: https://doi.org/10.1007/s12190-015-0915-5

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