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Amit Setia

Associate Professor

Numerical Methods
Office no. A-413,
Department of Mathematics,
BITS Pilani K K Birla Goa Campus,
NH-17B, Bypass Road,
Zuarinagar, Goa-403726

List of Publications

  • Abhishek Yadav, Amit Setia, Concetta Laurita (2024). A Gegenbauer polynomial-based numerical technique for a singular integral equation of order four and its application to a crack problem. Applied Mathematics and Computation, 479, 128878.

  • Saurabh R Madankar, Amit Setia, AS Vatsala (2024). Error analysis of haar wavelet-based Galerkin numerical method with application to various nonlinear optimal control problems. International Journal of Computer Mathematics, 1-21.

  • Abhishek Yadav, Amit Setia, M Thamban Nair (2024). Error analysis of a residual-based Galerkin’s method for a system of Cauchy singular integral equations with vanishing endpoint conditions. Journal of Computational and Applied Mathematics, 436, 115365.

  • Saurabh R Madankar, Amit Setia, M Muniyasamy, Ravi P Agarwal (2023). Consistency and feasibility of Haar wavelet collocation method for a nonlinear optimal control problem with application. WSEAS Transactions on Systems and Control, 18, 652-662.

  • Abhishek Yadav, Amit Setia, Ravi P Agarwal (2023). Error analysis of Chebyshev polynomial-based numerical method for system of hypersingular integral equations. Computational and Applied Mathematics, 42(5), 213.

  • Bijil Prakash, Amit Setia, Shourya Bose, Ravi P Agarwal (2022). Error analysis of a Haar wavelets-based numerical method with its application to a nonlinear fractional dengue model. International Journal of Computer Mathematics, 1-19.

  • Vaishali Sharma, Amit Setia (2019). Approximate solution and its convergence analysis for hypersingular integral equations. Defence Science Journal, 69(2), 173-178.

  • Vaishali Sharma, Amit Setia (2018). Numerical solution and its analysis for a system of hypersingular integral equations. Journal of Computational and Applied Mathematics, 343, 520-538.

  • Amit Setia, Pushpendu Ghosh, Roshan R Nair (2018). Numerical solution of a nonlinear fractional model for hepatitis c by using haar wavelets. AIP Conference Proceedings, 1975(1).

  • Vaishali Sharma, Amit Setia, Ravi P Agarwal (2018). Numerical solution for system of Cauchy type singular integral equations with its error analysis in complex plane. Applied Mathematics and Computation, 328, 338-352.

  • Bijil Prakash, Amit Setia, Deepak Alapatt (2017). Numerical solution of nonlinear fractional SEIR epidemic model by using haar wavelets. Journal of Computational Science, 22, 109-118.

  • Amit Setia, Vaishali Sharma, Yucheng Liu (2017). Numerical method to solve Cauchy type singular integral equation with error bounds. AIP Conference Proceedings, 1798(1).

  • Bijil Prakash, Amit Setia, Shourya Bose (2017). Numerical solution for a system of fractional differential equations with applications in fluid dynamics and chemical engineering. International Journal of Chemical Reactor Engineering, 15(5), 20170093.

  • Amit Setia, Bijil Prakash, Aghalaya S Vatsala (2017). Haar based numerical solution of Fredholm-Volterra fractional integro-differential equation with nonlocal boundary conditions. AIP Conference Proceedings, 1798(1).

  • Bijil Prakash, Amit Setia (2015). Numerical solution and error analysis of Fredholm integro-differential equation by using Legendre and block pulse functions. International Conference on Computational Mathematics, Computational Geometry & Statistics (CMCGS). Proceedings, 25.

  • Amit Setia, BIJIL Prakash, AS Vatsala (2015). Numerical solution by fourth order fractional integro-differential equation by using Legendre wavelets. Neural, Parallel, and Scientific Computations, 23, 377-386.

  • Amit Setia, Vaishali Sharma, Yucheng Sharma (2015). Numerical solution of Cauchy singular integral equation with an application to a crack problem. Neural, Parallel, and Scientific Computations, 23, 387-392.

  • Amit Setia, Yucheng Liu, Aghalaya S Vatsala (2014). Solution of linear fractional Fredholm integro-differential equation by using second kind Chebyshev wavelet. 2014 11th International Conference on Information Technology: New Generations, 465-469.

  • Amit Setia (2014). Numerical solution of various cases of Cauchy type singular integral equation. Applied Mathematics and Computation, 230, 200-207.

  • Amit Setia, Yucheng Liu, AS Vatsala (2014). Numerical solution of Fredholm-Volterra fractional integrodifferential equations with nonlocal boundary conditions. Journal of fractional calculus and applications, 5(2), 155-165.

  • Amit Setia, Yucheng Liu, Aghalaya S Vatsala (2014). The solution of the Bagley-Torvik equation by using second kind Chebyshev wavelet. 2014 11th International Conference on Information Technology: New Generations, 443-446.

  • Amit Setia, Rajesh K Pandey (2012). Laguerre polynomials based numerical method to solve a system of generalized Abel integral equations. Procedia Engineering, 38, 1675-1682.

  • RR Bhargava, Amit Setia (2010). Strip-saturation model solution for piezoelectric strip~ by quadratically varying electric displacement.. Journal of Concrete & Applicable Mathematics, 8(1).

  • RR Bhargava, A Setia (2009). Crack arrest saturation model under combined electrical and mechanical loadings. Journal of Achievements in Materials and Manufacturing Engineering, 37(2), 544-548.

  • RR Bhargava, A Setia (2008). A strip yield model solution for an internally cracked piezoelectric strip. Mechanics of Composite Materials, 44, 451-464.

  • RR Bhargava, A Setia (2008). Modified strip saturation model for a cracked piezoelectric strip. Archives of Materials Science and Engineering, 30(1), 33-36.

  • RR Bhargava, Amit Setia (2007). Crack arrest model for a piezoelectric strip subjected to mode-i loadings. Journal of Achievements in Materials and Manufacturing Engineering, 20(1-2), 215-218.

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