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- Siraj-ul-Islam, Syed Ikram A. Tirmizi, Saadat Ashraf
- Applied Mathematics and Computation
- 2006

- Siraj-ul-Islam, Syed Ikram A. Tirmizi, Fazal-i-Haq, Muhammad Azam Khan
- Applied Mathematics and Computation
- 2008

In this chapter, non-polynomial spline functions are applied to develop numerical methods for obtaining smooth approximations for the following BVP: 6 , , , / , D y x f x y a x b D d dx (3.1) subject to the boundary conditions: 2 4 0 2 4 2 4 0 2 4 , , , , ,. y a A D y a A D y a A y b B D y b B D y b B (3.2) where y x and (,)… (More)

- Syed Ikram A. Tirmizi, Fazal-i-Haq, Siraj-ul-Islam
- Applied Mathematics and Computation
- 2008

In this article, using non-polynomial cubic spline we develop the classes of methods for the numerical solution of singularly perturbed two-point boundary-value problems. The purposed methods are second-order and fourth-order accurate and applicable to problems both in singular and non-singular cases.Numerical results are given to illustrate the efficiency… (More)

- Siraj-ul-Islam, Muhammad Azam Khan, Syed Ikram A. Tirmizi, Edward H. Twizell
- Applied Mathematics and Computation
- 2005

Quartic non-polynomial splines are used to develop a new numerical method for computing approximations to the solution of a system of third-order boundary-value problems associated with obstacle, unilateral, and contact problems. It is shown that the new method gives approximations, which are better than those produced by other collocation,… (More)

- Siraj-ul-Islam, Muhammad Aslam Noor, Syed Ikram A. Tirmizi, Muhammad Azam Khan
- Applied Mathematics and Computation
- 2006

A quadratic non-polynomial spline functions based method is developed to find approximations solution to a system of second-order boundary-value problems associated with obstacle, unilateral, and contact problems. The present approach has less computational cost and gives better approximations than those produced by other collocation, finite-difference and… (More)

- Siraj-ul-Islam, Syed Ikram A. Tirmizi
- Applied Mathematics and Computation
- 2006

- Syed Ikram A. Tirmizi, Edward H. Twizell
- Appl. Math. Lett.
- 2002

- M. Idrees, Saeed Islam, Syed Ikram A. Tirmizi, Sirajul Haq
- Mathematical and Computer Modelling
- 2012

- Sirajul Haq, Nagina Bibi, Syed Ikram A. Tirmizi, M. Usman
- Applied Mathematics and Computation
- 2010

- Siraj-ul-Islam, Syed Ikram A. Tirmizi
- Int. J. Comput. Math.
- 2006