Sedaghat Shahmorad | University of Tabriz (original) (raw)

Papers by Sedaghat Shahmorad

Research paper thumbnail of Topological quantum codes from self-complementary self-dual graphs

In this paper we present two new classes of binary quantum codes with minimum distance of at leas... more In this paper we present two new classes of binary quantum codes with minimum distance of at least three, by self-complementary self-dual orientable embeddings of voltage graphs and Paley graphs in the Galois field GF(pr), where p is a prime number and r is a positive integer. The parameters of two new classes of quantum codes are [[(2k+2)(8k+ 7); 2(8k^2+7k); d]] and [[(2k+2)(8k+9); 2(8k^2+9k+1); d]] respectively, where d>=3. For these quantum codes, the code rate approaches 1 as k goes to infinity.

Research paper thumbnail of Efficient quadrature rules for solving nonlinear fractional integro-differential equations of the Hammerstein type

Applied Mathematical Modelling, 2015

Research paper thumbnail of A quadrature free convergent method for the numerical solution of linear Fredholm integral equations based on Hermite-spline interpolation

PAMM, 2007

In this paper we use the Hermite-spline interpolation in a special form for the numerical solutio... more In this paper we use the Hermite-spline interpolation in a special form for the numerical solution of linear Fredholm integral equations. We prove the convergence of this method as a main part of the paper.

Research paper thumbnail of The Stability Analysis of Predictor–Corrector Method in Solving American Option Pricing Model

Computational Economics, 2015

ABSTRACT

Research paper thumbnail of Numerical solution of Hammerstein integral equation based on an interpolation method

The numerical solutions to the nonlinear integral equations of the Hammerstein-type:

Research paper thumbnail of Paper: APPLICATIONS OF HYDRUS AND THE PROPOSED SWMRUM SOFTWARE IN SIMULATING WATER FLOW WITH ROOT WATER UPTAKE THROUGH SOILS

Research paper thumbnail of Simulating Soil Moisture by Integrating Root Water Uptake into Water Flow Models

Research paper thumbnail of Adomian-Tau Operational Method for Solving Non-linear Fredholm Integro-Differential Equations1

Research paper thumbnail of Paper: AN OPERATIONAL METHOD FOR THE NUMERICAL SOLUTION OF TWO DIMENSIONAL LINEAR FREDHOLM INTEGRAL EQUATIONS WITH AN ERROR ESTIMATION

Research paper thumbnail of Paper: NUMERICAL SOLUTION OF THE SYSTEM OF NONLINEAR FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS BY THE OPERATIONAL TAU METHOD WITH AN ERROR ESTIMATION

Research paper thumbnail of Paper: NUMERICAL SOLUTION OF A CLASS OF INTEGRO-DIFFERENTIAL EQUATIONS BY THE TAU METHOD WITH AN ERROR ESTIMATION

Research paper thumbnail of Paper: THE ADOMIAN-TAU METHOD FOR SOLVING A SYSTEM OF NON-LINEAR DIFFERENTIAL EQUATIONS

Research paper thumbnail of Paper: INVESTIGATION OF 2D WATER FLOW IN SOIL WITH ROOT WATER UPTAKE BASED ON SOLUTION OF GOVERNING EQUATION AND FIELD STUDIES

Research paper thumbnail of Paper: NUMERICAL SOLUTION OF SPECIAL CLASS OF SYSTEMS OF NON-LINEAR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS BY A SIMPLE HIGH ACCURACY METHOD

Research paper thumbnail of Paper: TAU NUMERICAL SOLUTION OF FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS WITH ARBITRARY POLYNOMIAL BASES

Research paper thumbnail of Paper: FUZZY INTEGRO-DIFFERENTIAL EQUATIONS: DISCRETE SOLUTION AND ERROR ESTIMATION

Research paper thumbnail of Paper: SOLVING A CLASS OF TWO-DIMENSIONAL LINEAR AND NONLINEAR VOLTERRA INTEGRAL EQUATIONS BY THE DIFFERENTIAL TRANSFORM METHOD

Research paper thumbnail of Solution of Non-Linear Volterra Integro-Differential Equations

Research paper thumbnail of Solving System of Non-linear Volterra Intregro-Diffenrential Equations by Using an Operational Method

Research paper thumbnail of P. Arlukowicz (Poland), W. Czernous (Poland)

Research paper thumbnail of Topological quantum codes from self-complementary self-dual graphs

In this paper we present two new classes of binary quantum codes with minimum distance of at leas... more In this paper we present two new classes of binary quantum codes with minimum distance of at least three, by self-complementary self-dual orientable embeddings of voltage graphs and Paley graphs in the Galois field GF(pr), where p is a prime number and r is a positive integer. The parameters of two new classes of quantum codes are [[(2k+2)(8k+ 7); 2(8k^2+7k); d]] and [[(2k+2)(8k+9); 2(8k^2+9k+1); d]] respectively, where d>=3. For these quantum codes, the code rate approaches 1 as k goes to infinity.

Research paper thumbnail of Efficient quadrature rules for solving nonlinear fractional integro-differential equations of the Hammerstein type

Applied Mathematical Modelling, 2015

Research paper thumbnail of A quadrature free convergent method for the numerical solution of linear Fredholm integral equations based on Hermite-spline interpolation

PAMM, 2007

In this paper we use the Hermite-spline interpolation in a special form for the numerical solutio... more In this paper we use the Hermite-spline interpolation in a special form for the numerical solution of linear Fredholm integral equations. We prove the convergence of this method as a main part of the paper.

Research paper thumbnail of The Stability Analysis of Predictor–Corrector Method in Solving American Option Pricing Model

Computational Economics, 2015

ABSTRACT

Research paper thumbnail of Numerical solution of Hammerstein integral equation based on an interpolation method

The numerical solutions to the nonlinear integral equations of the Hammerstein-type:

Research paper thumbnail of Paper: APPLICATIONS OF HYDRUS AND THE PROPOSED SWMRUM SOFTWARE IN SIMULATING WATER FLOW WITH ROOT WATER UPTAKE THROUGH SOILS

Research paper thumbnail of Simulating Soil Moisture by Integrating Root Water Uptake into Water Flow Models

Research paper thumbnail of Adomian-Tau Operational Method for Solving Non-linear Fredholm Integro-Differential Equations1

Research paper thumbnail of Paper: AN OPERATIONAL METHOD FOR THE NUMERICAL SOLUTION OF TWO DIMENSIONAL LINEAR FREDHOLM INTEGRAL EQUATIONS WITH AN ERROR ESTIMATION

Research paper thumbnail of Paper: NUMERICAL SOLUTION OF THE SYSTEM OF NONLINEAR FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS BY THE OPERATIONAL TAU METHOD WITH AN ERROR ESTIMATION

Research paper thumbnail of Paper: NUMERICAL SOLUTION OF A CLASS OF INTEGRO-DIFFERENTIAL EQUATIONS BY THE TAU METHOD WITH AN ERROR ESTIMATION

Research paper thumbnail of Paper: THE ADOMIAN-TAU METHOD FOR SOLVING A SYSTEM OF NON-LINEAR DIFFERENTIAL EQUATIONS

Research paper thumbnail of Paper: INVESTIGATION OF 2D WATER FLOW IN SOIL WITH ROOT WATER UPTAKE BASED ON SOLUTION OF GOVERNING EQUATION AND FIELD STUDIES

Research paper thumbnail of Paper: NUMERICAL SOLUTION OF SPECIAL CLASS OF SYSTEMS OF NON-LINEAR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS BY A SIMPLE HIGH ACCURACY METHOD

Research paper thumbnail of Paper: TAU NUMERICAL SOLUTION OF FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS WITH ARBITRARY POLYNOMIAL BASES

Research paper thumbnail of Paper: FUZZY INTEGRO-DIFFERENTIAL EQUATIONS: DISCRETE SOLUTION AND ERROR ESTIMATION

Research paper thumbnail of Paper: SOLVING A CLASS OF TWO-DIMENSIONAL LINEAR AND NONLINEAR VOLTERRA INTEGRAL EQUATIONS BY THE DIFFERENTIAL TRANSFORM METHOD

Research paper thumbnail of Solution of Non-Linear Volterra Integro-Differential Equations

Research paper thumbnail of Solving System of Non-linear Volterra Intregro-Diffenrential Equations by Using an Operational Method

Research paper thumbnail of P. Arlukowicz (Poland), W. Czernous (Poland)