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- G. B. Loghmani, S. R. Alavizadeh
- Applied Mathematics and Computation
- 2007

In this paper, the fourth-order linear and nonlinear differential equations with separated boundary conditions is converted into an optimal control problem. Then a convergent approximate solution isâ€¦ (More)

- Zakieh Avazzadeh, B. Shafiee, G. B. Loghmani
- 2011

Abstract In this paper, the numerical method for solving Abelâ€™s integral equations is presented. This method is based on fractional calculus. Also, Chebyshev polynomials are utilized to applyâ€¦ (More)

- M. Ahmadinia, G. B. Loghmani
- Int. J. Comput. Math.
- 2007

In this paper, an effective direct method to determine the numerical solution of linear and nonlinear Fredholm and Volterra integral and integro-differential equations is proposed. The method isâ€¦ (More)

- E. Kokabifar, G. B. Loghmani, A. Latif
- ArXiv
- 2015

In this paper, we present methods for image compression on th e basis of eigenvalue decomposition of normal matrices. The proposed methods are co nvenient and self-explanatory, requiring fewer andâ€¦ (More)

- M. M. Sehati, S. M. Karbassi, M. Heydari, G. B. Loghmani
- 2012

In this paper, several new iterative methods for solving nonlinear algebraic equations are presented. The iterative formulas are based on the He's homotopy perturbation method (HPM). It is shown thatâ€¦ (More)

- G. B. Loghmani, M. Ahmadinia
- Applied Mathematics and Computation
- 2007

Siddiqi and Twizell using sextic splines to approximate solution of sixth order linear boundary value problems. In the present paper, a sixth degree B-spline functions is used to construct anâ€¦ (More)

- E. Kokabifar, G. B. Loghmani, Seyed-Mehdi Karbassi
- J. Computational Applied Mathematics
- 2016

Consider an n Ã— n matrix A and a set Î› consisting of k â‰¤ n prescribed complex numbers. Lippert (2010) in a challenging article, studied geometrically the spectral norm distance from A to the set ofâ€¦ (More)

- G. B. Loghmani, F. Mahdifar, S. R. Alavizadeh
- American J. Computational Mathematics
- 2011

In this study, we use B-spline functions to solve the linear and nonlinear special systems of differential equations associated with the category of obstacle, unilateral, and contact problems. Theâ€¦ (More)

Abstract. Consider an n Ã— n matrix polynomial P (Î»). An upper bound for a spectral norm distance from P (Î») to the set of n Ã— n matrix polynomials that have a given scalar Î¼ âˆˆ C as a multipleâ€¦ (More)