Exact Inversion of Pentadiagonal Matrix for Semi-Analytic Solution of 2D Poisson Equation
نویسندگان
چکیده
This work essentially consists in inverting an exact, explicit, and original way the pentadiagonal Toeplitz matrix or tridiagonal block resulting from discretization of two-dimensional Laplace operator. method is algorithm facilitating resolution a large number problems governed by PDEs involving Laplacian two dimensions. It guarantees high precision efficiency solving various differential equations.
منابع مشابه
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...
15 صفحه اولOn Fuzzy Solution for Exact Second Order Fuzzy Differential Equation
In the present paper, the analytical solution for an exact second order fuzzy initial value problem under generalized Hukuhara differentiability is obtained. First the solution of first order linear fuzzy differential equation under generalized Hukuhara differentiability is investigated using integration factor methods in two cases. The second based on the type of generalized Hukuhara different...
متن کاملApplication of semi-analytic method to compute the moments for solution of logistic model
The population growth, is increase in the number of individuals in population and it depends on some random environment effects. There are several different mathematical models for population growth. These models are suitable tool to predict future population growth. One of these models is logistic model. In this paper, by using Feynman-Kac formula, the Adomian decomposition method is applied to ...
متن کاملA one-way dissection of high-order compact scheme for the solution of 2D Poisson equation
We present a one-way dissection formulation of high-order compact scheme for the solution of 2D Poisson equation. One-way dissection is a type of matrix reordering, divide and conquers procedure. Efficient and concise compact schemes of 4th and 6th orders are derived using the truncation errors of the Taylors’ series expansion of the governing equation. The system is split into sub-domains and ...
متن کاملAnalytic Solution of Multipantograph Equation
where λ, μ1, μ2, . . . , μk, y0 ∈ C, has been studied by numerous authors e.g., 1–8 . Secondorder versions of this equation have also been studied e.g., 9, 10 . The enduring interest in this equation is due partially to the number of applications it has found such as a current collection system for an electric locomotive, cell growth models, biology, economy, control, and electrodynamics e.g., ...
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 Modern Physics
سال: 2022
ISSN: ['2153-120X', '2153-1196']
DOI: https://doi.org/10.4236/jmp.2022.1312094