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Numerical approach based on Bernstein polynomials for solving mixed Volterra-Fredholm integral equations
- Source :
- AIP Advances, Vol 7, Iss 12, Pp 125123-125123-14 (2017)
- Publication Year :
- 2017
- Publisher :
- AIP Publishing LLC, 2017.
-
Abstract
- This paper provides an effective numerical technique for obtaining the approximate solution of mixed Volterra-Fredholm Integral Equations (VFIEs) of second kind. The VFIEs arise from parabolic boundary value problems, mathematical modelling of the spatio-temporal development of an epidemic, and from various physical and Engineering models. The proposed method is based on the discretization of VFIEs by Bernstein’s approximation. Some results on convergence are also established which suggests that the technique converges to a smooth approximate solution. Its remarkable accuracy properties are finally demonstrated by several examples with graphical representation.
- Subjects :
- Approximation theory
Discretization
General Physics and Astronomy
010103 numerical & computational mathematics
01 natural sciences
Parabolic partial differential equation
Integral equation
Bernstein polynomial
lcsh:QC1-999
010101 applied mathematics
Convergence (routing)
Applied mathematics
Boundary value problem
0101 mathematics
Representation (mathematics)
lcsh:Physics
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 21583226
- Volume :
- 7
- Issue :
- 12
- Database :
- OpenAIRE
- Journal :
- AIP Advances
- Accession number :
- edsair.doi.dedup.....69a389b5f799cd11602c5cd4d8d9d974