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International Journal of Computer Mathematics Volume 72, 1999 - Issue 2
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Original Articles

Generalized trapezoidal formulas for convection-diffusion equations

M. M. Chawla Department of Mathematics and Computer Science, Kuwait University, P. O. Box 5969, Safat, Kuwait, 13060
,
M. A. Al-Zanaidi Department of Mathematics and Computer Science, Kuwait University, P. O. Box 5969, Safat, Kuwait, 13060
&
D. J. Evans Faculty of Engineering and Computing, Nottingham Trent University, Burton Street, Nottingham, NG1 4BU, UK
Pages 141-154 | Received 15 Jul 1998, Published online: 19 Mar 2007

Citations (13)

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Read on this site (3)

M. M. Chawla, M. A. Al-Zanaidi & D. J. Evans. (2003) Generalized trapezoidal formulas for the black–scholes equation of option pricing . International Journal of Computer Mathematics 80:12, pages 1521-1526.
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M.M. Chawla, M.A. Al-Zanaidi & D.J. Evans. (2002) Generalized Trapezoidal Formulas for the Symmetric Heat Equation in Polar Coordinates. International Journal of Computer Mathematics 79:6, pages 729-745.
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M. M. Chawla, M. A. Al-Zanaidi & D. J. Evans. (2001) Lod generalized trapezoidal formula schemes for parabolic differential equations in two space dimensions. International Journal of Computer Mathematics 78:2, pages 269-287.
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Articles from other publishers (10)

Aatika Yousaf, Thabet Abdeljawad, Muhammad Yaseen & Muhammad Abbas. (2020) Novel Cubic Trigonometric B-Spline Approach Based on the Hermite Formula for Solving the Convection-Diffusion Equation. Mathematical Problems in Engineering 2020, pages 1-17.
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Ram Jiwari, Sapna Pandit & Mehmet Emir Koksal. (2019) A class of numerical algorithms based on cubic trigonometric B-spline functions for numerical simulation of nonlinear parabolic problems. Computational and Applied Mathematics 38:3.
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Tahir Nazir, Muhammad Abbas, Ahmad Izani Md. Ismail, Ahmad Abd. Majid & Abdur Rashid. (2016) The numerical solution of advection–diffusion problems using new cubic trigonometric B-splines approach. Applied Mathematical Modelling 40:7-8, pages 4586-4611.
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Jalil Rashidinia & Ali Barati. (2015) Numerical solutions of one-dimensional non-linear parabolic equations using Sinc collocation method. Ain Shams Engineering Journal 6:1, pages 381-389.
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Reza Mohammadi. (2013) Exponential B-Spline Solution of Convection-Diffusion Equations. Applied Mathematics 04:06, pages 933-944.
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R.C. Mittal & R.K. Jain. (2012) Cubic B-splines collocation method for solving nonlinear parabolic partial differential equations with Neumann boundary conditions. Communications in Nonlinear Science and Numerical Simulation 17:12, pages 4616-4625.
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R.C. Mittal & R.K. Jain. (2012) Redefined cubic B-splines collocation method for solving convection–diffusion equations. Applied Mathematical Modelling 36:11, pages 5555-5573.
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Huai-Huo Cao, Li-Bin Liu, Yong Zhang & Sheng-mao Fu. (2011) A fourth-order method of the convection–diffusion equations with Neumann boundary conditions. Applied Mathematics and Computation 217:22, pages 9133-9141.
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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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M.M. Chawla, M.A. Al-Zanaidi & M.G. Al-Aslab. (2000) Extended one-step time-integration schemes for convection-diffusion equations. Computers & Mathematics with Applications 39:3-4, pages 71-84.
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