Seyed Reza Hejazi
Department of mathematical sciences, Shahrood university of technology, Shahrood, Semnan, Iran
[ 1 ] - Exact solutions for Fokker-Plank equation of geometric Brownian motion with Lie point symmetries
In this paper Lie symmetry analysis is applied to find new solution for Fokker Plank equation of geometric Brownian motion. This analysis classifies the solution format of the Fokker Plank equation.
[ 2 ] - Exact solutions of a linear fractional partial differential equation via characteristics method
In recent years, many methods have been studied for solving differential equations of fractional order, such as Lie group method, invariant subspace method and numerical methods, cite{6,5,7,8}. Among this, the method of characteristics is an efficient and practical method for solving linear fractional differential equations (FDEs) of multi-order. In this paper we apply this method f...
[ 3 ] - New Solutions for Fokker-Plank Equation of Special Stochastic Process via Lie Point Symmetries
In this paper Lie symmetry analysis is applied in order to find new solutions for Fokker Plank equation of Ornstein-Uhlenbeck process. This analysis classifies the solutions format of the Fokker Plank equation by using the Lie algebra of the symmetries of our considered stochastic process.
[ 4 ] - Polynomial and non-polynomial solutions set for wave equation with using Lie point symmetries
This paper obtains the exact solutions of the wave equation as a second-order partial differential equation (PDE). We are going to calculate polynomial and non-polynomial exact solutions by using Lie point symmetry. We demonstrate the generation of such polynomial through the medium of the group theoretical properties of the equation. A generalized procedure for polynomial solution is pr...
[ 5 ] - Classification of Lie Subalgebras up to an Inner Automorphism
In this paper, a useful classification of all Lie subalgebras of a given Lie algebraup to an inner automorphism is presented. This method can be regarded as animportant connection between differential geometry and algebra and has many applications in different fields of mathematics. After main results, we have applied this procedure for classifying the Lie subalgebras of some examples of Lie al...
[ 6 ] - Reduction of Differential Equations by Lie Algebra of Symmetries
The paper is devoted to an application of Lie group theory to differential equations. The basic infinitesimal method for calculating symmetry group is presented, and used to determine general symmetry group of some differential equations. We include a number of important applications including integration of ordinary differential equations and finding some solutions of partial differential equa...
[ 7 ] - Symmetry group, Hamiltonian equations and conservation laws of general three-dimensional anisotropic non-linear sourceless heat transfer equation
In this paper Lie point symmetries, Hamiltonian equations and conservation laws of general three-dimensional anisotropic non-linear sourceless heat transfer equation are investigated. First of all Lie symmetries are obtained by using the general method based on invariance condition of a system of differential equations under a prolonged vector field. Then the structure of symmetry ...
[ 8 ] - ارزیابی مدل شبکۀ عصبی مصنوعی GMDH در برآورد پراکنش مکانی کنه‌های خانوادۀ Laelapidae (Acari, Mesostigmata) در منطقۀ شاهرود استان سمنان
این پژوهش به‌منظور برآورد پراکندگی مکانی کنه‌های خانوادۀ Laelapidae در منطقۀ شاهرود با به‌کارگیری شبکۀ عصبی مصنوعی انجام شد. داده‌های مربوط به تراکم جمعیت این کنه از زیستگاه‌های گوناگون منطقۀ شاهرود در سال 1394 به دست آمدند. در این پژوهش از متغیرهای طول و عرض جغرافیایی به‌عنوان متغیرهای ورودی و از دگرگونی‌های جمعیت کنه‌های خانوادۀ Laelapidae به‌عنوان متغیر خروجی استفاده شد. شبکۀ مورداستفاده از ...
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