مشخصات پژوهش

عنوان	A new approximation method for convection-diffusion equation by the fundamental solutions
نوع پژوهش	مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها	‎Non-homogeneous diffusion equations; Meshfree method; Method of fundamental solutions; Time-dependent fundamental solutions
چکیده	‎This paper develops a new numerical method of fundamental solutions for the non-homogeneous convection-diffusion equations with time-dependent heat sources‎. ‎A summation of the fundamental solutions of the diffusion operator is considered with time-dependent coefficients for the solution of the underlying problem‎. ‎By a $\theta$-weight discretiztion for the time derivative and selecting the source points and the field points at each time level‎, ‎the solutions of all time levels are obtained‎. ‎In addition‎, ‎the stability of this approach is analyzed by considering $\theta=1$ in numerical results‎. ‎This method is truly meshless and it is not necessary to discretize any part of the domain or boundary‎. ‎As a result‎, ‎this method is easily applicable to higher dimensional problems with irregular domains‎. ‎In this work‎, ‎we consider a non-homogeneous convection-diffusion equation (NCDE) in 2D with a regular domain and present some numerical results to show the effectiveness of the proposed method
پژوهشگران	کمال شانظری (نفر دوم)، سیامک بانه (نفر اول)