Bernstein’s approximation of generalized abel’s integral equation with application in tomography

Authors

  • Sharma S Department of Mathematical Sciences, Indian Institute of Technology (BHU) Varanasi, UP India
  • Pandey PK Department of Mathematical Sciences, Indian Institute of Technology (BHU) Varanasi, UP India
  • Pandey RK Department of Mathematical Sciences, Indian Institute of Technology (BHU) Varanasi, UP India

Keywords:

Abel’s equation, Bernstein polynomial, Block-Pulse function, Collocation method, Hybrid Bernstein Block- Pulse function

Abstract

This paper presents the Bernstein and hybrid Bernstein approximations to solve the generalized Abel’s integral equations (GAIEs) via collocation approach. Bernstein polynomial and hybrid Bernstein functions are used in the approximation of GAIEs solutions and convergence analysis are presented in detail. To show the validity of the proposed methods, numerical examples are considered and an application is shown through Abel inversion in tomography.

References

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Published

2024-02-26

How to Cite

Sharma, S., Pandey, P. K., & Pandey, R. K. (2024). Bernstein’s approximation of generalized abel’s integral equation with application in tomography. COMPUSOFT: An International Journal of Advanced Computer Technology, 8(02), 3021–3030. Retrieved from https://ijact.in/index.php/j/article/view/475

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Section

Original Research Article

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