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- Gabil M. Amiraliyev, Fevzi Erdogan
- Computers & Mathematics with Applications
- 2007

- Gabil M. Amiraliyev, Sebaheddin Sevgin
- Applied Mathematics and Computation
- 2006

- I. G. Amiraliyeva, Gabil M. Amiraliyev
- Numerical Algorithms
- 2009

This paper deals with the singularly perturbed initial value problem for quasilinear first-order delay differential equation depending on a parameter. A numerical method is constructed for this problem which involves an appropriate piecewise-uniform meshes on each time subinterval. The difference scheme is shown to converge to the continuous solution… (More)

- Gabil M. Amiraliyev
- Applied Mathematics and Computation
- 2005

- Musa Çakir, Gabil M. Amiraliyev
- Applied Mathematics and Computation
- 2005

- Musa Çakir, Gabil M. Amiraliyev
- Int. J. Comput. Math.
- 2007

- Gabil M. Amiraliyev, Mustafa Kudu, Hakki Duru
- Applied Mathematics and Computation
- 2006

We consider a uniform finite difference method on a B-mesh is applied to solve a singularly perturbed quasilinear boundary value problem (BVP) depending on a parameter. We give a uniform first-order error estimates in a discrete maximum norm. Numerical results are presented that demonstrate the sharpness of our theoretical analysis. 2005 Elsevier Inc. All… (More)

- I. G. Amiraliyeva, Fevzi Erdogan, Gabil M. Amiraliyev
- Appl. Math. Lett.
- 2010

- Gabil M. Amiraliyev, Erkan Cimen
- Applied Mathematics and Computation
- 2010

- Gabil M. Amiraliyev, Fevzi Erdogan
- Numerical Algorithms
- 2009

This study deals with the singularly perturbed initial value problem for a quasilinear first-order delay differential equation. A numerical method is generated on a grid that is constructed adaptively from a knowledge of the exact solution, which involves appropriate piecewise-uniform mesh on each time subinterval. An error analysis shows that the method is… (More)