Analytic numerical solution of coupled semi-infinite diffusion problems

Analytic-numerical solutions of mixed problems for coupled systems of generalized diffusion equations with delay

REFERENCES [1] Wu, J. Theory and Application of Partial Functional Differential Equations. Springer Verlag, New York, 1996. [2] Martín, J.A., Rodríguez, F., Company, R. Analytical solution of mixed problems for the generalized diffusion equation with delay. Mathematical and Computer Modelling, 40 (2004), 361--369. [3] Reyes, E., Rodríguez, F., Martín, J.A. Cálculo eficiente de soluciones numéri...

A semi-Lagrangian Crank-Nicolson algorithm for the numerical solution of advection-diffusion problems

[1] We present a hybrid method for the numerical solution of advection-diffusion problems that combines two standard algorithms: semi-Lagrangian schemes for hyperbolic advection-reaction problems and CrankNicolson schemes for purely diffusive problems. We show that the hybrid scheme is identical to the two end-member schemes in the limit of infinite and zero Peclet number and remains accurate o...

Pure Lagrangian and Semi-lagrangian Finite Element Methods for the Numerical Solution of Convection-diffusion Problems

In this paper we propose a unified formulation to introduce and analyze (pure) Lagrangian and semi-Lagrangian methods for solving convection-diffusion partial differential equations. This formulation allows us to state classical and new numerical methods. Several examples are given. We combine them with finite element methods for spatial discretization. One of the pure Lagrangian methods we int...

Numerical Solution of singular Eigenvalue Problems for ODEs with a Focus on Problems Posed on Semi-Infinite Intervals

semi-analytical solution for static and forced vibration problems of laminated beams through smooth fundamental functions method

در این پایان نامه روش جدیدی مبتنی بر روش حل معادلات دیفرانسیل پارهای بر اساس روش توابع پایه برای حل مسایل ارتعاش اجباری واستاتیک تیرها و صفحات لایه ای ارایه شده است که می توان تفاوت این روش با روش های متداول توابع پایه را در استفاده از توابع هموار در ارضاء معادلات حاکم و شرایط مرزی دانست. در روش ارایه شده در این پایاننامه از معادله تعادل به عنوان معادله حاکم بر رفتار سیستم استفاده شده است که مو...