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Section B

Second Chebyshev wavelet operational matrix of integration and its application in the calculus of variations

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Pages 2338-2352 | Received 22 Jun 2012, Accepted 05 Feb 2013, Published online: 10 Apr 2013

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Yanxin Wang, Li Zhu & Dielan Hu. (2024) Euler wavelets operational matrix of integration and its application in the calculus of variations. International Journal of Computer Mathematics 101:4, pages 386-406.
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Arzu Turan Dincel, Sadiye Nergis Tural Polat & Pelin Sahin. (2023) Hermite Wavelet Method for Nonlinear Fractional Differential Equations. Fractal and Fractional 7:5, pages 346.
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Arzu Turan Dincel & Sadiye Nergis Tural Polat. (2021) Fourth kind Chebyshev Wavelet Method for the solution of multi-term variable order fractional differential equations. Engineering Computations 39:4, pages 1274-1287.
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Ashish Rayal & Sag R Verma. (2020) Numerical study of variational problems of moving or fixed boundary conditions by Muntz wavelets. Journal of Vibration and Control 28:1-2, pages 214-229.
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E. Keshavarz, Y. Ordokhani & M. Razzaghi. (2019) The Bernoulli wavelets operational matrix of integration and its applications for the solution of linear and nonlinear problems in calculus of variations. Applied Mathematics and Computation 351, pages 83-98.
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Yanxin Wang, Tianhe Yin & Li Zhu. (2017) Sine-cosine wavelet operational matrix of fractional order integration and its applications in solving the fractional order Riccati differential equations. Advances in Difference Equations 2017:1.
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Li Zhu & Yanxin Wang. (2017) Solving fractional partial differential equations by using the second Chebyshev wavelet operational matrix method. Nonlinear Dynamics 89:3, pages 1915-1925.
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Yanxin Wang & Li Zhu. (2016) SCW method for solving the fractional integro-differential equations with a weakly singular kernel. Applied Mathematics and Computation 275, pages 72-80.
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Li Zhu & Yanxin Wang. (2015) Numerical solutions of Volterra integral equation with weakly singular kernel using SCW method. Applied Mathematics and Computation 260, pages 63-70.
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Seyed Hossein Mahdavi & Hashim Abdul Razak. (2015) An Efficient Iterative Scheme Using Family of Chebyshev’s Operations. Mathematical Problems in Engineering 2015, pages 1-10.
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