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Research Articles

Laguerre wavelets collocation method for the numerical solution of the Benjamina–Bona–Mohany equations

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Pages 9-15 | Received 20 Jul 2018, Accepted 10 Aug 2018, Published online: 03 Sep 2018

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K. R. Raghunatha, Y. Vinod, Suma Nagendrappa Nagappanavar & Sangamesh. (2023) Unsteady Casson fluid flow on MHD with an internal heat source. Journal of Taibah University for Science 17:1.
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Siddu Channabasappa Shiralashetti & Srinivasa Kumbinarasaiah. (2019) New generalized operational matrix of integration to solve nonlinear singular boundary value problems using Hermite wavelets. Arab Journal of Basic and Applied Sciences 26:1, pages 385-396.
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S. Kumbinarasaiah & Mallanagoud Mulimani. (2023) Bernoulli Wavelets Numerical Approach for the Nonlinear Klein–Gordon and Benjamin–Bona–Mahony Equation. International Journal of Applied and Computational Mathematics 9:5.
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Sıla Övgü Korkut. (2023) An accurate and efficient numerical solution for the generalized Burgers–Huxley equation via Taylor wavelets method: Qualitative analyses and Applications. Mathematics and Computers in Simulation 209, pages 324-341.
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K. R. Raghunatha & Y. Vinod. (2023) Effects of heat transfer on MHD suction–injection model of viscous fluid flow through differential transformation and Bernoulli wavelet techniques. Heat Transfer.
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K. R. Raghunatha & Y. Vinod. (2023) Viscous Flow by Expanding or Shrinking the Gap with Permeable Walls Through Hermite Wavelet Method. International Journal of Applied and Computational Mathematics 9:3.
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Rupali Gupta & Sushil Kumar. (2023) Space-time pseudospectral method for the variable-order space-time fractional diffusion equation. Mathematical Sciences.
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Kumbinarasaiah S., Manohara G.Hariharan G.. (2023) Bernoulli wavelets functional matrix technique for a system of nonlinear singular Lane Emden equations. Mathematics and Computers in Simulation 204, pages 133-165.
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Mo Faheem, Akmal Raza & Arshad Khan. (2022) Wavelet collocation methods for solving neutral delay differential equations. International Journal of Nonlinear Sciences and Numerical Simulation 23:7-8, pages 1129-1156.
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Abdul Ghafoor, Nazish Khan, Manzoor Hussain & Rahman Ullah. (2022) A hybrid collocation method for the computational study of multi-term time fractional partial differential equations. Computers & Mathematics with Applications 128, pages 130-144.
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Aisha Abdullah Alderremy, Rasool Shah, Nehad Ali Shah, Shaban Aly & Kamsing Nonlaopon. (2022) Evaluation of Fractional-Order Pantograph Delay Differential Equation via Modified Laguerre Wavelet Method. Symmetry 14:11, pages 2356.
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S. Kumbinarasaiah, K. R. Raghunatha, Mohammadreza Rezazadeh & Mustafa Inc. (2021) A solution of coupled nonlinear differential equations arising in a rotating micropolar nanofluid flow system by Hermite wavelet technique. Engineering with Computers 38:S4, pages 3351-3372.
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Sohail Ahmed, Hang Xu, An-Yang Wang & Qing-Bo Chen. (2022) Highly accurate Coiflet wavelet-homotopy solution of Jeffery–Hamel problem at extreme parameters. International Journal of Wavelets, Multiresolution and Information Processing 20:05.
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Julee Shahni & Randhir Singh. (2021) Laguerre wavelet method for solving Thomas–Fermi type equations. Engineering with Computers 38:4, pages 2925-2935.
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Kumbinarasaiah Srinivasa, Hadi Rezazadeh & Waleed Adel. (2022) An effective numerical simulation for solving a class of Fokker–Planck equations using Laguerre wavelet method. Mathematical Methods in the Applied Sciences 45:11, pages 6824-6843.
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Şuayip Yüzbaşı. (2022) Fractional Bell collocation method for solving linear fractional integro-differential equations. Mathematical Sciences.
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S. Kumbinarasaiah & K. R. Raghunatha. (2021) Numerical solution of the Jeffery–Hamel flow through the wavelet technique. Heat Transfer 51:2, pages 1568-1584.
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Maysaa Al Qurashi, Saima Rashid, Sobia Sultana, Fahd Jarad & Abdullah M. Alsharif. (2022) Fractional-order partial differential equations describing propagation of shallow water waves depending on power and Mittag-Leffler memory. AIMS Mathematics 7:7, pages 12587-12619.
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Kumbinarasaiah Srinivasa, Haci Mehmet Baskonus & Yolanda Guerrero Sánchez. (2021) Numerical Solutions of the Mathematical Models on the Digestive System and COVID-19 Pandemic by Hermite Wavelet Technique. Symmetry 13:12, pages 2428.
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Nasser Aghazadeh, Amir Mohammadi, Ghader Ahmadnezhad & Shahram Rezapour. (2021) Solving partial fractional differential equations by using the Laguerre wavelet-Adomian method. Advances in Difference Equations 2021:1.
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S. Kumbinarasaiah & Waleed Adel. (2021) Hermite wavelet method for solving nonlinear Rosenau–Hyman equation. Partial Differential Equations in Applied Mathematics 4, pages 100062.
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Saima Rashid, Rehana Ashraf & Fatimah S. Bayones. (2021) A Novel Treatment of Fuzzy Fractional Swift–Hohenberg Equation for a Hybrid Transform within the Fractional Derivative Operator. Fractal and Fractional 5:4, pages 209.
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Kumbinarasaiah Srinivasa & Hadi Rezazadeh. (2021) Numerical solution for the fractional-order one-dimensional telegraph equation via wavelet technique. International Journal of Nonlinear Sciences and Numerical Simulation 22:6, pages 767-780.
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Saima Rashid, Rehana Ashraf, Ahmet Ocak Akdemir, Manar A. Alqudah, Thabet Abdeljawad & Mohamed S. Mohamed. (2021) Analytic Fuzzy Formulation of a Time-Fractional Fornberg–Whitham Model with Power and Mittag–Leffler Kernels. Fractal and Fractional 5:3, pages 113.
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S. Kumbinarasaiah & R. A. Mundewadi. (2021) The new operational matrix of integration for the numerical solution of integro-differential equations via Hermite wavelet. SeMA Journal 78:3, pages 367-384.
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Shaher Momani, Ranbir Kumar, H.M. Srivastava, Sunil Kumar & Samir Hadid. (2021) A chaos study of fractional SIR epidemic model of childhood diseases. Results in Physics 27, pages 104422.
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S.C. Shiralashetti & S.I. Hanaji. (2021) Taylor wavelet collocation method for Benjamin–Bona–Mahony partial differential equations. Results in Applied Mathematics 9, pages 100139.
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S. Kumbinarasaiah & K.R. Raghunatha. (2021) The applications of Hermite wavelet method to nonlinear differential equations arising in heat transfer. International Journal of Thermofluids 9, pages 100066.
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S. Kumbinarasaiah, H. S. Ramane, K. S. Pise & G. Hariharan. (2021) Numerical Solution for Nonlinear Klein–Gordon Equation via Operational Matrix by Clique Polynomial of Complete Graphs. International Journal of Applied and Computational Mathematics 7:1.
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Maysaa Al-Qurashi, Saima Rashid, Fahd Jarad, Madeeha Tahir & Abdullah M. Alsharif. (2021) New computations for the two-mode version of the fractional Zakharov-Kuznetsov model in plasma fluid by means of the Shehu decomposition method. AIMS Mathematics 7:2, pages 2044-2060.
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S. Kumbinarasaiah. (2020) A new approach for the numerical solution for nonlinear Klein–Gordon equation. SeMA Journal 77:4, pages 435-456.
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Kumbinarasaiah Srinivasa, Hadi Rezazadeh & Waleed Adel. (2020) Numerical Investigation Based on Laguerre Wavelet for Solving the Hunter Saxton Equation. International Journal of Applied and Computational Mathematics 6:5.
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Sunil Kumar, Ali Ahmadian, Ranbir Kumar, Devendra Kumar, Jagdev Singh, Dumitru Baleanu & Mehdi Salimi. (2020) An Efficient Numerical Method for Fractional SIR Epidemic Model of Infectious Disease by Using Bernstein Wavelets. Mathematics 8:4, pages 558.
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