New methods for boundary value problems
نویسندگان
چکیده
منابع مشابه
L2-transforms for boundary value problems
In this article, we will show the complex inversion formula for the inversion of the L2-transform and also some applications of the L2, and Post Widder transforms for solving singular integral equation with trigonometric kernel. Finally, we obtained analytic solution for a partial differential equation with non-constant coefficients.
متن کاملPseudodifferential Methods for Boundary Value Problems
In these lecture notes we introduce some of the concepts and results from microlocal analysis used in the analysis of boundary value problems for elliptic differential operators, with a special emphasis on Dirac-like operators. We first consider the problem of finding elliptic boundary conditions for the ∂̄operator on the unit disk. The rather explicit results in this special case delineate the ...
متن کاملIterative Parallel Methods for Boundary Value Problems
A bordered almost block diagonal system (BABD) results from discretizing and linearizing ordinary diierential equation (ODE) boundary value problems (BVPs) with non-separated boundary conditions (BCs) by either spline collocation, nite diierences, or multiple shooting. After internal condensation, if necessary, this BABD system reduces to a standard-nite diierence BABD structure. This system ca...
متن کاملEquidistribution grids for two-parameter convection–diffusion boundary-value problems
In this article, we propose an adaptive grid based on mesh equidistribution principle for two-parameter convection-diffusion boundary value problems with continuous and discontinuous data. A numerical algorithm based on an upwind finite difference operator and an appropriate adaptive grid is constructed. Truncation errors are derived for both continuous and discontinuous problems. Parameter uni...
متن کاملExistence of multiple solutions for Sturm-Liouville boundary value problems
In this paper, based on variational methods and critical point theory, we guarantee the existence of infinitely many classical solutions for a two-point boundary value problem with fourth-order Sturm-Liouville equation; Some recent results are improved and by presenting one example, we ensure the applicability of our results.
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: Mathematical and Computer Modelling
سال: 1988
ISSN: 0895-7177
DOI: 10.1016/0895-7177(88)90614-0