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International Journal of Computer Mathematics Volume 81, 2004 - Issue 7
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Unconditionally stable C1-cubic spline collocation method for solving parabolic equations

S. Sallam Department of Mathematics and Computer Science, Kuwait University, P.O. Box 5969, Safat, 13060, KuwaitCorrespondence[email protected]
,
M. Naim Anwar Department of Mathematics and Computer Science, Faculty of Science, University of United Arab Emirates, P.O. Box 17551, Al-Ain, UAE
&
M. R. Abdel-Aziz Department of Mathematics and Computer Science, Kuwait University, P.O. Box 5969, Safat, 13060, Kuwait
Pages 813-821 | Received 16 Oct 2003, Published online: 25 Jan 2007

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Chi-Chang Wang, Lu-Ping Chao & Wu-Jung Liao. (2012) Hybrid Spline Difference Method (HSDM) for Transient Heat Conduction. Numerical Heat Transfer, Part B: Fundamentals 61:2, pages 129-146.
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Chi-Chang Wang, Huang Chen-Hung & Dane-Jong Yang. (2011) Hybrid Spline Difference Method for Steady-State Heat Conduction. Numerical Heat Transfer, Part B: Fundamentals 60:6, pages 472-485.
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J. Rashidinia & R. Mohammadi. (2008) Non-polynomial cubic spline methods for the solution of parabolic equations. International Journal of Computer Mathematics 85:5, pages 843-850.
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Articles from other publishers (9)

A S Neena, Dominic P Clemence Mkhope & Ashish Awasthi. (2022) Some Computational Methods for the Fokker–Planck Equation. International Journal of Applied and Computational Mathematics 8:5.
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Nawdha Thakoor, Dhiren Kumar Behera, Désiré Yannick Tangman & Muddun Bhuruth. (2019) Howard’s algorithm for high-order approximations of American options under jump-diffusion models. International Journal of Data Science and Analytics 10:2, pages 193-203.
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Behnam Sepehrian & Marzieh Karimi Radpoor. (2015) Numerical solution of non-linear Fokker–Planck equation using finite differences method and the cubic spline functions. Applied Mathematics and Computation 262, pages 187-190.
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Chi-Chang Wang, Jin-Hung Huang & Dane-Jong Yang. (2012) Cubic spline difference method for heat conduction. International Communications in Heat and Mass Transfer 39:2, pages 224-230.
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Yong Zhang, Li-Bin Liu & Huai-Huo Cao. (2010) Parametric Cubic Spline Methods for Solving Hyperbolic Equations. Parametric Cubic Spline Methods for Solving Hyperbolic Equations.
Akbar Mohebbi & Mehdi Dehghan. (2010) High-order compact solution of the one-dimensional heat and advection–diffusion equations. Applied Mathematical Modelling 34:10, pages 3071-3084.
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Huan-Wen Liu & Li-Bin Liu. (2008) A Non-polynomial Spline Method for Solving the One-Dimensional Heat Equation. A Non-polynomial Spline Method for Solving the One-Dimensional Heat Equation.
Hengfei Ding & Yuxin Zhang. (2008) Parameters spline methods for the solution of hyperbolic equations. Applied Mathematics and Computation 204:2, pages 938-941.
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J. Rashidinia, R. Jalilian & V. Kazemi. (2007) Spline methods for the solutions of hyperbolic equations. Applied Mathematics and Computation 190:1, pages 882-886.
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