An Efficient Numerical Method for Fractional SIR Epidemic Model of Infectious Disease by Using Bernstein Wavelets
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- Doungmo Goufo, Emile F. & Kumar, Sunil & Mugisha, S.B., 2020. "Similarities in a fifth-order evolution equation with and with no singular kernel," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
- Wang, Jiao & Xu, Tian-Zhou & Wei, Yan-Qiao & Xie, Jia-Quan, 2018. "Numerical simulation for coupled systems of nonlinear fractional order integro-differential equations via wavelets method," Applied Mathematics and Computation, Elsevier, vol. 324(C), pages 36-50.
- Shiralashetti, S.C. & Kumbinarasaiah, S., 2017. "Theoretical study on continuous polynomial wavelet bases through wavelet series collocation method for nonlinear Lane–Emden type equations," Applied Mathematics and Computation, Elsevier, vol. 315(C), pages 591-602.
- Ghanbari, Behzad & Kumar, Sunil & Kumar, Ranbir, 2020. "A study of behaviour for immune and tumor cells in immunogenetic tumour model with non-singular fractional derivative," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).
- Goswami, Amit & Singh, Jagdev & Kumar, Devendra & Sushila,, 2019. "An efficient analytical approach for fractional equal width equations describing hydro-magnetic waves in cold plasma," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 524(C), pages 563-575.
- Shah, Syed Azhar Ali & Khan, Muhammad Altaf & Farooq, Muhammad & Ullah, Saif & Alzahrani, Ebraheem O., 2020. "A fractional order model for Hepatitis B virus with treatment via Atangana–Baleanu derivative," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 538(C).
- Mirzaee, Farshid & Samadyar, Nasrin, 2019. "Numerical solution based on two-dimensional orthonormal Bernstein polynomials for solving some classes of two-dimensional nonlinear integral equations of fractional order," Applied Mathematics and Computation, Elsevier, vol. 344, pages 191-203.
- Asgari, M. & Ezzati, R., 2017. "Using operational matrix of two-dimensional Bernstein polynomials for solving two-dimensional integral equations of fractional order," Applied Mathematics and Computation, Elsevier, vol. 307(C), pages 290-298.
- Bhatter, Sanjay & Mathur, Amit & Kumar, Devendra & Singh, Jagdev, 2020. "A new analysis of fractional Drinfeld–Sokolov–Wilson model with exponential memory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 537(C).
- M. Lakestani & M. Razzaghi & M. Dehghan, 2006. "Semiorthogonal spline wavelets approximation for Fredholm integro-differential equations," Mathematical Problems in Engineering, Hindawi, vol. 2006, pages 1-12, February.
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Keywords
Bernstein wavelets; operational matrix; fractional differential equations; Adams–Bashforth–Moulton predictor correcter scheme;All these keywords.
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