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Hybrid Functions of Lagrange Polynomials and Block-Pulse Functions for Solving Integro-partial Differential Equations

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Abstract

We construct two-dimensional hybrid functions from Lagrange polynomials and block-pulse-functions. Using special properties of the functions for evaluating integral and derivatives, we develop an efficient algorithm for solving two-dimensional integro-differential equations. Some numerical examples are given to demonstrate the performance of the method.

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Authors and Affiliations

  1. Applied Mathematics Department, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Pajuhesh Square, Kerman, Iran

    Nasibeh Mollahasani & Mahmoud Mohseni Moghadam

  2. Russian Academy of Science, Pushchino, Moscow Region, 142290, Russia

    Gennady Chuev

Authors
  1. Nasibeh Mollahasani
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  2. Mahmoud Mohseni Moghadam
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  3. Gennady Chuev
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Correspondence to Nasibeh Mollahasani.

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Mollahasani, N., Mohseni Moghadam, M. & Chuev, G. Hybrid Functions of Lagrange Polynomials and Block-Pulse Functions for Solving Integro-partial Differential Equations. Iran J Sci Technol Trans Sci 42, 2021–2028 (2018). https://doi.org/10.1007/s40995-018-0509-9

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  • DOI: https://doi.org/10.1007/s40995-018-0509-9

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