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Your search keyword '"Tirmizi, Ikram A."' showing total 18 results
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18 results on '"Tirmizi, Ikram A."'

4. Quartic non-polynomial splines approach to the solution of a system of second-order boundary-value problems

Author

Tirmizi, Ikram A. and Haq, Fazal

Subjects
Numerical analysis -- Methods -- Analysis -- Usage, Boundary value problems -- Analysis -- Usage -- Methods, Spline theory -- Usage -- Analysis -- Methods, Computer capacity -- Analysis -- Usage -- Methods, Finite element method -- Usage -- Analysis -- Methods
Abstract

Abstract Quartic non-polynomial spline functions are used to develop numerical methods for computing approximations to the solution of systems of second-order boundary-value problems associated with obstacle, unilateral, and contact problems. […]

Published
2007

15. A numerical method for third-order non-linear boundary-value problems in engineering.

Author

Tirmizi, Ikram A., Twizell, E. H., and Siraj-Ul-Islam

Subjects
*ENGINEERING, *BOUNDARY value problems, *STOCHASTIC convergence, *DIFFERENTIAL equations, *APPROXIMATION theory, *ALGORITHMS
Abstract

A second-order method is developed for the numerical solution of a non-linear, third-order, boundary-value (BV) problem. The method arises from a four-point recurrence relation involving exponential terms, these being replaced by Padé approximants. The convergence of the method is discussed. The method is tested on a sandwich beam problem to demonstrate its usefulness. [ABSTRACT FROM AUTHOR]

Published
2005
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16. Family of numerical methods based on non-polynomial splines for solution of contact problems

Author

Siraj-ul-Islam, Tirmizi, Ikram A., Haq, Fazal, and Taseer, Shahrukh K.

Subjects
*SPLINE theory, *POLYNOMIALS, *EQUATIONS, *MATHEMATICAL analysis, *MATHEMATICAL functions
Abstract

Abstract: In this paper a new technique based on quartic non-polynomial spline functions connecting spline functions values at mid knots and their corresponding values of the fourth-order derivatives is developed. This approach leads to a family of numerical methods for computing approximations to the solution of a system of fourth-order boundary-value problems associated with obstacle, unilateral, and contact problems. It is shown that the present family of methods gives better approximations. Existing second and fourth-order finite-difference and spline functions based methods developed at mid knots become special cases of the new approach. Numerical examples are given to illustrate applicability and efficiency of the new methods. [Copyright &y& Elsevier]

Published
2008
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18. A numerical technique for solution of the MRLW equation using quartic B-splines

Author

Fazal-i-Haq, Siraj-ul-Islam, and Tirmizi, Ikram A.

Subjects
*NUMERICAL solutions to wave equations, *SPLINE theory, *NONLINEAR differential equations, *COLLOCATION methods, *PERFORMANCE evaluation, *FORCE & energy, *MASS (Physics), *MOMENTUM (Mechanics), *CONSERVATION laws (Physics)
Abstract

Abstract: Numerical scheme based on quartic B-spline collocation method is designed for the numerical solution of modified regularized long wave (MRLW) equation. Unconditional stability is proved using Von-Neumann approach. Performance of the method is checked through numerical examples. Using error norms L 2 and L ∞ and conservative properties of mass, momentum and energy, accuracy and efficiency of the new method is established through comparison with the existing techniques. [Copyright &y& Elsevier]

Published
2010
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