Results 321 to 330 of about 3,312,925 (373)
Some of the next articles are maybe not open access.
2000
Linear partial differential equations the wave equation Green's function and Sturm-Liouville problems Fourier series and Fourier transforms the heat equation Laplace's equation and Poisson's equation problems in higher dimensions.
openaire +2 more sources
Linear partial differential equations the wave equation Green's function and Sturm-Liouville problems Fourier series and Fourier transforms the heat equation Laplace's equation and Poisson's equation problems in higher dimensions.
openaire +2 more sources
A Note on a Boundary Value Problem
Southeast Asian Bulletin of Mathematics, 2000Consider Robin's boundary value problem \[ x''=f(t,x,x'),\quad a_0 x(0)-a_1 x'(0)=A,\quad b_0 x(1)-b_1 x'(1)=B, \] where \( A,B \) are arbitrary real numbers, and \(a_0, a_1, b_0, b_1 \) are nonnegative real constants. The author derives conditions on the function \(f\) and its derivatives under which there exists a unique solution to this problem.
openaire +3 more sources
2011
This chapter deals with Newton methods for boundary value problems (BVPs) in nonlinear partial differential equations (PDEs). There are two principal approaches: (a) finite dimensional Newton methods applied to given systems of already discretized PDEs, also called discrete Newton methods, and (b) function space oriented inexact Newton methods directly
Peter Deuflhard, Peter Deuflhard
openaire +3 more sources
This chapter deals with Newton methods for boundary value problems (BVPs) in nonlinear partial differential equations (PDEs). There are two principal approaches: (a) finite dimensional Newton methods applied to given systems of already discretized PDEs, also called discrete Newton methods, and (b) function space oriented inexact Newton methods directly
Peter Deuflhard, Peter Deuflhard
openaire +3 more sources
, 1988 When a person begins the study of ordinary differential equations, he is usually confronted first by initial value problems, i.e. a differential equation plus conditions which the solution must satisfy at a given point x = x0.
William Miller, Mayer Humi
openaire +1 more source
Applications to Boundary Value Problems
1989We now use results from the preceding chapters to solve the following generalization of the Dirichlet problem stated in the introduction.
openaire +2 more sources
2020
In this chapter, we’ll discuss the essential steps of solving boundary value problems (BVPs) of ordinary differential equations (ODEs) using MATLAB’s built-in solvers. The only difference between BVPs and IVPs is that the given differential equation in a BVP is valid within two boundary conditions, which are the initial and end conditions. A BVP can be
openaire +2 more sources
In this chapter, we’ll discuss the essential steps of solving boundary value problems (BVPs) of ordinary differential equations (ODEs) using MATLAB’s built-in solvers. The only difference between BVPs and IVPs is that the given differential equation in a BVP is valid within two boundary conditions, which are the initial and end conditions. A BVP can be
openaire +2 more sources
1984
In the previous chapters, we studied various kinds of questions concerning the initial value problem. We now propose to investigate other types of problems, in which the desired solution depends either on the values that it assumes at various points in its domain or on geometrical conditions (e.g., intersecting two given curves or being tangent to two ...
Guido Stampacchia +2 more
openaire +2 more sources
In the previous chapters, we studied various kinds of questions concerning the initial value problem. We now propose to investigate other types of problems, in which the desired solution depends either on the values that it assumes at various points in its domain or on geometrical conditions (e.g., intersecting two given curves or being tangent to two ...
Guido Stampacchia +2 more
openaire +2 more sources
, 1971 In this section, we discuss two point boundary value problems for the nonhomogeneous equation (32.2) and obtain results of the “Fredholm alternative” type. With these results, applications to weakly nonlinear problems can be obtained in the standard, manner.
openaire +1 more source
Fractional boundary value problem with $$\varvec{\psi }$$-Caputo fractional derivative
Proceedings - Mathematical Sciences, 2019Mohammed S Abdo +2 more
semanticscholar +1 more source
On the accurate discretization of a highly nonlinear boundary value problem
Numerical Algorithms, 2018M. Hajipour, A. Jajarmi, D. Baleanu
semanticscholar +1 more source