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International Journal of Computer Mathematics Volume 87, 2010 - Issue 15
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Section B

Sextic spline solution of variable coefficient fourth-order parabolic equations

J. Rashidinia Department of Applied Mathematics, School of Mathematics, Iran University of Science & Technology, Narmak, Tehran, 1684613114, Iran
&
R. Mohammadi Department of Mathematics, University of Neyshabur, Neyshabur, IranCorrespondence[email protected]
Pages 3443-3454 | Received 27 Sep 2007, Accepted 31 May 2009, Published online: 07 Oct 2010

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Sachin Sharma & Naina Sharma. (2024) A fast computational technique to solve fourth-order parabolic equations: application to good Boussinesq, Euler-Bernoulli and Benjamin-Ono equations. International Journal of Computer Mathematics 101:2, pages 194-216.
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Muhammad Nadeem & Zitian Li. (2022) A new strategy for the approximate solution of fourth-order parabolic partial differential equations with fractional derivative. International Journal of Numerical Methods for Heat & Fluid Flow 33:3, pages 1062-1075.
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Fenglian Liu, Muhammad Nadeem, Ibrahim Mahariq & Suliman Dawood. (2022) A Numerical Approach for the Analytical Solution of the Fourth-Order Parabolic Partial Differential Equations. Journal of Function Spaces 2022, pages 1-9.
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Abdul Ghafoor, Sirajul Haq, Manzoor Hussain, Thabet Abdeljawad & Manar A. Alqudah. (2022) Numerical Solutions of Variable Coefficient Higher-Order Partial Differential Equations Arising in Beam Models. Entropy 24:4, pages 567.
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Ravi P. Agarwal, Fatemah Mofarreh, Rasool Shah, Waewta Luangboon & Kamsing Nonlaopon. (2021) An Analytical Technique, Based on Natural Transform to Solve Fractional-Order Parabolic Equations. Entropy 23:8, pages 1086.
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Ömer ORUÇ, Alaattin ESEN & Fatih BULUT. (2021) Numerical investigation of dynamic Euler-Bernoulli equation via 3-Scale Haar wavelet collocation method. Hacettepe Journal of Mathematics and Statistics 50:1, pages 159-179.
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Muhammad Nadeem, Fengquan Li & Hijaz Ahmad. (2019) Modified Laplace variational iteration method for solving fourth-order parabolic partial differential equation with variable coefficients. Computers & Mathematics with Applications 78:6, pages 2052-2062.
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Talat Sultana & Pooja Khandelwal. (2018) Tension spline technique for the solution of fourth-order parabolic partial differential equation. Malaya Journal of Matematik 06:03, pages 514-520.
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R.K. Mohanty & Deepti Kaur. (2018) Unconditionally stable high accuracy compact difference schemes for multi-space dimensional vibration problems with simply supported boundary conditions. Applied Mathematical Modelling 55, pages 281-298.
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R.K. Mohanty, Sean McKee & Deepti Kaur. (2017) A class of two-level implicit unconditionally stable methods for a fourth order parabolic equation. Applied Mathematics and Computation 309, pages 272-280.
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Ranjan Kumar Mohanty & Deepti Kaur. (2016) A class of quasi-variable mesh methods based on off-step discretization for the numerical solution of fourth-order quasi-linear parabolic partial differential equations. Advances in Difference Equations 2016:1.
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Reza Mohammadi. (2014) Sextic B-spline collocation method for solving Euler–Bernoulli Beam Models. Applied Mathematics and Computation 241, pages 151-166.
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