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- Ghasem Barid Loghmani, M. Ahmadinia
- Applied Mathematics and Computation
- 2007

Abstract 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… (More)

In this paper, we develop a numerical technique for singularly perturbed boundary value problems using B-spline functions and least square method. The approximate solution derived in this article is… (More)

- M. Ahmadinia, Z. Safari
- 2014

The aim of this paper is to present a numerical method to solve of a class of singular second order nonlinear differential equations. The singularity of the nonlinear differential equation is… (More)

- M. Ahmadinia, Z. Safari
- J. Computational Applied Mathematics
- 2018

This paper introduces a numerical method based on least squares method for solving singularly perturbed differential equations with two-point boundary conditions. Moreover, an intelligent algorithm… (More)

- M. Ahmadinia, Z. Safari
- 2014

In this article, we present two numerical methods to solve the second order multi-pantograph equation with boundary conditions. The multi-pantograph equation is converted to an integral equation then… (More)

- M. Ahmadinia, Z. Safari
- 2015

This paper introduces a numerical method to solve anti-periodic boundary value problems. The proposed method converts anti-periodic boundary value problem to a Fredholm integral equation and solves… (More)

- M. Ahmadinia, Ghasem Barid Loghmani
- Int. J. Comput. Math.
- 2007

Aftabizadeh, Pavel and Huang showed in 1994 that some second-order differential equations on (0, π) with anti-periodic conditions y(0)+y(π)=0, y'(0)+y'(π)=0 have a unique solution. In the present… (More)

AbstractLet x=g(t,x(t),u(t)) be the governing equation of an optimal control problem with two-point boundary conditions h0(x(a))+h1(x(b)) = 0, where x: [a,b] → ℝn is continuous, u: [a,b] → ℝk-n is… (More)

This paper focuses on the time–space fractional convection–diffusion equations with time fractional derivative (of order $$\alpha $$α, $$0< \alpha <1$$0<α<1) and space fractional derivative (of order… (More)

This note presents a generalization of Wallis' product. We prove this generalization by Stirling's formula. Then some corollaries can be obtained by this formula.