Trigonometric tension B-spline collocation approximations for time fractional Burgers’ equation

Brajesh Kumar Singh1, Mukesh Gupta1
1School of Physical and Decision Sciences, Department of Mathematics, Babasaheb Bhimrao Ambedkar University Lucknow 226025 (UP), INDIA

Tài liệu tham khảo

Singh, 2018, Ain Shams Eng. J., 9, 827, 10.1016/j.asej.2016.04.009 Biranvand, 2021, Eng. Comput. Javaid, 2022, Alexandria Eng. J., 61, 17, 10.1016/j.aej.2021.04.106 He, 1999, Comput. Method. Appl. Mech. Eng., 178, 257, 10.1016/S0045-7825(99)00018-3 He, 1998, 288 Raza, 2017, Punjab Univ. J. Math., 49, 15 He, 1998, Comput. Method. Appl. Mech. Eng., 167, 57, 10.1016/S0045-7825(98)00108-X Valliammal, 2019, Int. J. Nonlinear Sci. Numer. Simul., 20, 803, 10.1515/ijnsns-2018-0362 Singh, 2014, Abstr. Appl. Anal., 2014, 12 Song, 2010, Commun. Nonlinear Sci. Numer. Simul., 15, 616, 10.1016/j.cnsns.2009.04.029 Chi, 2021, Appl. Math. Lett., 120, 107312, 10.1016/j.aml.2021.107312 Singh, 2018, Wavelets Fractal., 4, 19, 10.1515/wwfaa-2018-0003 Singh, 2018, Int. J. Appl. Comput. Math, 4, 38, 10.1007/s40819-017-0469-3 Singh, 2018, SeMA, 75, 111, 10.1007/s40324-017-0117-1 B.K. Singh, P. Kumar, A new approximate solution of time-fractional non-linear schrodinger equations using fractional reduced differential transformation, 2016, ArXiv:1611.07171. Singh, 2016, Int. J. Open Problems Compt. Math, 9, 20, 10.12816/0033742 Singh, 2017, Int. J. Appl. Comput. Math, 3, 631, 10.1007/s40819-017-0374-9 Singh, 2017, Int. J. Diff. Equ., 11 Yaseen, 2019, Int. J. Comput. Math., 97, 725, 10.1080/00207160.2019.1612053 Esen, 2016, Mediterr. J. Math., 13, 1325, 10.1007/s00009-015-0555-x Majeed, 2020, Comput. Appl. Math., 39, 257, 10.1007/s40314-020-01307-3 Sokhanvar, 2021, Eng. Comput., 37, 1473, 10.1007/s00366-019-00896-w Podlubny, 1999 Atangana, 2016 Gurbatov, 1997, J. Fluid Mech., 344, 339, 10.1017/S0022112097006241 Haselwandter, 2002, J. Phys. A, 35, L579, 10.1088/0305-4470/35/41/104 Blackstock, 1985, J. Acoustical. Soc. Am., 77, 2050, 10.1121/1.391778 Yang, 1992, J. Comput. Phys., 102, 139, 10.1016/S0021-9991(05)80012-9 Halabisky, 1973, Phys. Fluids, 3, 360, 10.1063/1.1694350 Musha, 1978, Jpn. J. Appl. Phys., 17, 811, 10.1143/JJAP.17.811 Or-Roshid, 2017, J. Ocean Eng. Sci., 2, 120, 10.1016/j.joes.2017.04.001 Ahmad, 2021, J. Ocean Eng. Sci. Bashan, 2020, Phys. A: Stat. Mech. Appl., 545, 123755, 10.1016/j.physa.2019.123755 Bashan, 2021, Math. Sci., 1 Singh, 2021, Appl. Math. Comput., 399, 126011 Huda, 2018, J. Ocean Eng. Sci., 3, 1, 10.1016/j.joes.2017.11.002 Sutradhar, 2009, Indian J. Phys., 83, 1681, 10.1007/s12648-009-0150-8 Saad, 2017, Adv. Diff. Eqs., 2017:300 Cao, 2017, Adv. Diff. Eqs., 2017:338 Cherif, 2020, Numer. Anal. Appl., 13, 368, 10.1134/S1995423920040072 Hariharan, 2021, J. Math. Chem., 59, 554, 10.1007/s10910-020-01206-2 Asgari, 2018, Numer. Algor., 77, 763, 10.1007/s11075-017-0339-4 El-Danaf, 2012, Appl. Math. Model., 36, 4557, 10.1016/j.apm.2011.11.035 Wang, 2008, J. Comput. Appl. Math., 216, 498, 10.1016/j.cam.2007.05.031 Aliniaa, 2018, Comput. Math. Math. Phys., 58, 631, 10.1134/S0965542518050020