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Original Articles

A class of generalized trapezoidal formulas for the numerical integration of

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Pages 131-142 | Published online: 30 Mar 2007

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M. M. Chawla & D. J. Evans. (2005) A new L-stable Simpson-type rule for the diffusion equation. International Journal of Computer Mathematics 82:5, pages 601-607.
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A. A. Salama & S. A. Bakr. (2004) Optimal extended one-step schemes of exponential type for stiff initial-value problems. International Journal of Computer Mathematics 81:11, pages 1363-1379.
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A.A. Salama. (2004) HIGHER-ORDER METHOD FOR SOLVING FREE BOUNDARY-VALUE PROBLEMS. Numerical Heat Transfer, Part B: Fundamentals 45:4, pages 385-394.
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M. M. Chawla, M. A. Al-Zanaidi & D. J. Evans. (2004) Generalized trapezoidal formulas for valuing American options . International Journal of Computer Mathematics 81:3, pages 375-381.
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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 II. The Case Of Point Sources. International Journal of Computer Mathematics 79:11, pages 1187-1200.
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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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M.M. Chawla, M.A. Al-Zanaidi & D.J. Evans. (2001) An alternating direction generalized trapezoidal formula scheme for parabolic differential equations in two space dimensions. International Journal of Computer Mathematics 77:4, pages 611-628.
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M.K. Jain. (2001) An optimum generalized trapezoidal formula for the numerical integration of y′=f(x,y). International Journal of Computer Mathematics 77:2, pages 333-334.
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M.M. Chawla, M.A. Al-zanaidi & D.J. Evans. (2000) Linearly implicit generalized trapezoidal formulas for nonlinear differential equations. International Journal of Computer Mathematics 74:3, pages 345-359.
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M. M. Chawla, M. A. Al-Zanaidi & D. J. Evans. (1999) Generalized trapezoidal formulas for convection-diffusion equations. International Journal of Computer Mathematics 72:2, pages 141-154.
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Kao-Shing Hwang & Long-Yeu Chung. (1999) A novel numerical method on the resolution of the time-invariant systems response. International Journal of Computer Mathematics 71:2, pages 277-290.
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M.M. Chawla, M.A Al-Zanaidi & D.J Evans. (1999) Generalized trapezoidal formulas for parabolic equations. International Journal of Computer Mathematics 70:3, pages 429-443.
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Lajja Verma. (2012) -Stable Derivative-Free Error-Corrected Trapezoidal Rule for Burgers' Equation with Inconsistent Initial and Boundary Conditions. International Journal of Mathematics and Mathematical Sciences 2012, pages 1-13.
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K. Pandey, Lajja Verma & Amit K. Verma. (2011) L-stable Simpson’s 3/8 rule and Burgers’ equation. Applied Mathematics and Computation 218:4, pages 1342-1352.
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A.A. Salama. (2006) Numerical methods based on extended one-step methods for solving optimal control problems. Applied Mathematics and Computation 183:1, pages 243-250.
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I A Hassanien, A A Salama & H A Hosham. (2005) Analytical and numerical solutions of generalized Burgers' equation via Buckingham's Pi-theorem. Canadian Journal of Physics 83:10, pages 1035-1049.
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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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M.M. Chawla & M.A. Al-Zanaidi. (1999) An extended trapezoidal formula for the diffusion equation. Computers & Mathematics with Applications 38:2, pages 51-59.
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S. Sallam & M. Naim Anwar. (1999) One parameter quadratic C1-spline collocation method for solving first order ordinary initial value problems. Applied Mathematical Modelling 23:2, pages 153-160.
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