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Original Articles

Numerical study of Fisher's equation by wavelet Galerkin method

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Pages 287-298 | Received 23 Sep 2005, Accepted 16 Mar 2006, Published online: 17 Feb 2007

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Read on this site (5)

Manzoor Hussain & Sirajul Haq. (2021) Numerical solutions of strongly non-linear generalized Burgers–Fisher equation via meshfree spectral technique. International Journal of Computer Mathematics 98:9, pages 1727-1748.
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Geeta Arora & Varun Joshi. (2021) A Computational Approach for One and Two Dimensional Fisher’s Equation Using Quadrature Technique. American Journal of Mathematical and Management Sciences 40:2, pages 145-162.
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R.C. Mittal, Harpreet Kaur & Vinod Mishra. (2015) Haar wavelet-based numerical investigation of coupled viscous Burgers' equation. International Journal of Computer Mathematics 92:8, pages 1643-1659.
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R. C. Mittal & Geeta Arora. (2010) Efficient numerical solution of Fisher's equation by using B-spline method. International Journal of Computer Mathematics 87:13, pages 3039-3051.
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R. C. Mittal & Sumit Kumar. (2010) A numerical study of stationary solution of viscous Burgers’ equation using wavelet. International Journal of Computer Mathematics 87:6, pages 1326-1337.
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Articles from other publishers (26)

Manzoor Hussain, Abdul Ghafoor, Arshad Hussain, Sirajul Haq, Ihteram Ali & Shams Ul Arifeen. (2024) A hybrid kernel-based meshless method for numerical approximation of multidimensional Fisher’s equation. Mathematics and Computers in Simulation 223, pages 130-157.
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Peyman Alipour. (2023) THE DUAL RECIPROCITY BOUNDARY ELEMENT METHOD FOR ONE-DIMENSIONAL NONLINEAR PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS. Journal of Mathematical Sciences 280:2, pages 131-145.
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Shubham Kumar Tiwari, Pradyumna Ghosh, Manish Chopra & Subir Das. (2024) Numerical solution of nonlinear diffusion advection Fisher equation by fourth‐order cubic B‐spline collocation method. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 104:4.
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Kiran Bala, Geeta Arora, Homan Emadifar & Masoumeh Khademi. (2023) Applications of particle swarm optimization for numerical simulation of Fisher’s equation using RBF. Alexandria Engineering Journal 84, pages 316-322.
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Emre Kırlı & Dursun Irk. (2023) Efficient techniques for numerical solutions of Fisher’s equation using B-spline finite element methods. Computational and Applied Mathematics 42:4.
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Mamta Kapoor. (2023) Numerical simulation of Burgers’ equations via quartic HB-spline DQM . Nonlinear Engineering 12:1.
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Shafeeq Rahman Thottoli, Mohammad Tamsir, Neeraj Dhiman & Galib Souadi. (2022) Computational modeling of the Balitsky–Kovchegov equation and its numerical solution using hybrid B-spline collocation technique. Partial Differential Equations in Applied Mathematics 5, pages 100348.
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Shelly Arora, Rajiv Jain & V.K. Kukreja. (2022) A robust Hermite spline collocation technique to study generalized Burgers-Huxley equation, generalized Burgers-Fisher equation and Modified Burgers’ equation. Journal of Ocean Engineering and Science.
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Hailu Muleta Chemeda, Ayana Deressa Negassa & Feyisa Edosa Merga. (2022) Compact Finite Difference Scheme Combined with Richardson Extrapolation for Fisher’s Equation. Mathematical Problems in Engineering 2022, pages 1-7.
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Satyvir Singh. A mixed-type modal discontinuous Galerkin approach for solving nonlinear reaction diffusion equations. A mixed-type modal discontinuous Galerkin approach for solving nonlinear reaction diffusion equations.
M.J. Huntul, Mohammad Tamsir, Abdullah Ali H. Ahmadini & Shafeeq Rahman Thottoli. (2022) A novel collocation technique for parabolic partial differential equations. Ain Shams Engineering Journal 13:1, pages 101497.
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Suruchi Singh, Swarn Singh & Sandeep Bhatt. (2021) High Order Compact Cubic B-spline Collocation Method for the Solution of Fisher’s Equation. International Journal of Applied and Computational Mathematics 7:6.
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Xindong Zhang, Lin Yao & Juan Liu. (2021) Numerical study of Fisher’s equation by the RBF-FD method. Applied Mathematics Letters 120, pages 107195.
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Mohammad Tamsir & M.J. Huntul. (2021) A numerical approach for solving Fisher’s reaction–diffusion equation via a new kind of spline functions. Ain Shams Engineering Journal 12:3, pages 3157-3165.
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Muhammad Usman, Muhammad Hamid & Moubin Liu. (2021) Novel operational matrices-based finite difference/spectral algorithm for a class of time-fractional Burger equation in multidimensions. Chaos, Solitons & Fractals 144, pages 110701.
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Neeraj Dhiman, Amit Chauhan, Mohammad Tamsir & Anand Chauhan. (2020) Numerical simulation of Fisher's type equation via a collocation technique based on re-defined quintic B-splines. Multidiscipline Modeling in Materials and Structures 16:5, pages 1117-1130.
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Geeta Arora & Gurpreet Singh Bhatia. (2020) A Meshfree Numerical Technique Based on Radial Basis Function Pseudospectral Method for Fisher’s Equation. International Journal of Nonlinear Sciences and Numerical Simulation 21:1, pages 37-49.
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Haifa Bin Jebreen. (2020) On the numerical solution of Fisher's equation by an efficient algorithm based on multiwavelets. AIMS Mathematics 6:3, pages 2369-2384.
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Neeraj Dhiman & Mohammad Tamsir. (2018) A collocation technique based on modified form of trigonometric cubic B-spline basis functions for Fisher’s reaction-diffusion equation. Multidiscipline Modeling in Materials and Structures 14:5, pages 923-939.
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Geeta Arora & Varun Joshi. (2018) A computational approach for solution of one dimensional parabolic partial differential equation with application in biological processes. Ain Shams Engineering Journal 9:4, pages 1141-1150.
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Rajni Rohila & R. C. Mittal. (2018) Numerical study of reaction diffusion Fisher’s equation by fourth order cubic B-spline collocation method. Mathematical Sciences 12:2, pages 79-89.
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Shahid Hasnain, Muhammad Saqib & Nawaf Al-Harbi. (2018) Finite Difference Implicit Schemes to Coupled Two-Dimension Reaction Diffusion System. Journal of Applied Mathematics and Physics 06:04, pages 737-753.
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Shahid Hasnain, Daoud Suleiman Mashat, Muhammad Saqib, Shafeek A. Ghaleb & Noorah Y. Mshary. (2017) Numerical Approximation to Nonlinear One Dimensional Coupled Reaction Diffusion System. Journal of Applied Mathematics and Physics 05:08, pages 1551-1574.
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Shahid Hasnain & Muhammad Saqib. (2017) Numerical Study of One Dimensional Fishers KPP Equation with Finite Difference Schemes. American Journal of Computational Mathematics 07:01, pages 70-83.
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Anjali Verma, Ram Jiwari & Mehmet Emir Koksal. (2014) Analytic and numerical solutions of nonlinear diffusion equations via symmetry reductions. Advances in Difference Equations 2014:1.
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Ramesh Chand Mittal & Rakesh Kumar Jain. (2013) Numerical solutions of nonlinear Fisher's reaction–diffusion equation with modified cubic B-spline collocation method. Mathematical Sciences 7:1, pages 12.
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