Hybrid of Block-pulse and orthonormal Bernstein functions for fractional differential equations

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
Differential equations of fractional order have been the focus of many studies due to their frequent appearance in various applications in fluid mechanics, biology, physics, and engineering. In general, it is not easy to derive the analytical solutions to most of these equations. Therefore, it is vital to develop some reliable and efficient techniques to solve fractional differential equations. A numerical method for solving fractional differential equations is proposed in this paper. The method is based on a hybrid of Block-pulse and orthonormal Bernstein functions. Convergence analysis is given, and numerical examples are introduced to illustrate the effectiveness and simplicity of the method.
Language:
English
Published:
Iranian Journal of Numerical Analysis and Optimization, Volume:12 Issue: 2, Summer and Autumn 2022
Pages:
315 to 333
https://www.magiran.com/p2485902  
سامانه نویسندگان
  • Abbasbandy، Saeid
    Corresponding Author (2)
    Abbasbandy, Saeid
    Professor Applied Mathematics, Imam Khomeini International University, قزوین, Iran
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