A solution to Laser-induced Heat Equation inside a Two-layer Tissue Model Using Boubaker Polynomials Expansion Scheme
نویسندگان
چکیده
منابع مشابه
A Computed Solution to the Schrödinger Equation in the One-Dimensional Non-Relativistic Electron Case Using a Polynomials Expansion Scheme
In this paper, travelling wave solutions to the nonlinearly dispersive Schrödinger equation are computed in the case of onedimensional non-relativistic electron confined to a cylindrical quantum well. Investigations gave evidence to the possibility of simplified continuous solutions which are in good agreement with the probabilistic interpretation of this equation.
متن کاملThe Boubaker Polynomials Expansion Scheme for Solving Applied-physics Nonlinear high-order Differential Equations
In this study, the main features of the Boubaker Polynomials Expansion Scheme (BPES) are outlined on the basis of published, compared and confirmed solution to differently established appliedphysics nonlinear problems. Some new applications of the same scheme in the field of fluids motion and waves dynamics are also discussed. PACS: 2010 02.30.Jr; 02.30.Sa
متن کاملNumerical solution of a class of nonlinear two-dimensional integral equations using Bernoulli polynomials
In this study, the Bernoulli polynomials are used to obtain an approximate solution of a class of nonlinear two-dimensional integral equations. To this aim, the operational matrices of integration and the product for Bernoulli polynomials are derived and utilized to reduce the considered problem to a system of nonlinear algebraic equations. Some examples are presented to illustrate the efficien...
متن کاملA Closed-Form Solution for Two-Dimensional Diffusion Equation Using Crank-Nicolson Finite Difference Method
In this paper a finite difference method for solving 2-dimensional diffusion equation is presented. The method employs Crank-Nicolson scheme to improve finite difference formulation and its convergence and stability. The obtained solution will be a recursive formula in each step of which a system of linear equations should be solved. Given the specific form of obtained matrices, rather than sol...
متن کاملProperties of Boubaker polynomials and an application to Love's integral equation
The paper deals with three-term recurrence relations for Boubaker and related polynomials, as well as some properties including zero distribution of such kinds of polynomials. Also, an application of these polynomials for obtaining approximate analytical solution of Love’s integral equation is presented. This Fredholm integral equation of the second kind appeared in an electrostatic problem ana...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Laser Micro/Nanoengineering
سال: 2011
ISSN: 1880-0688
DOI: 10.2961/jlmn.2011.02.0002