Sentence examples for boundary value problems use from inspiring English sources

In solving boundary value problems, use of basis functions that independently satisfy the boundary conditions are useful.

It involves the solution of local boundary value problems using boundary conditions from the solution of the global problem discretized with a coarse mesh.

Problems appearing for this moment system for boundary value problems using Maxwell-type boundary conditions are described.

When solving elliptic boundary value problems using integral equation methods one may need to evaluate potentials represented by a convolution of discretized layer density sources against a kernel.

This is done by solving two-point boundary value problems using the multiple shooting method in combination with a path-following method.

These include Warner's method of solving system of nonlinear algebraic equations; generalized linear regression for equation fitting; various multistep methods for solving systems of ordinary differential equations and the methods for handling boundary value problems; using Laplace transforms to solve partial differential equations; etc.

Akram and Rehman [24] solved eighth-order boundary value problems using the kernel space method.

In this subsection, an error estimator for eighth-order boundary value problems using Legendre Galerkin approximation has been discussed.

Siddiqi and Akram [25, 26] solved sixth- and eighth-order boundary value problems using a non-polynomial and septic spline.

Siddiqi and Akram [23, 24, 25, 26, 27] presented the solutions of 5th, 6th, 8th, 10th, and 12th order boundary value problems using nonpolynomial spline techniques.

Additionally, the existence of solutions of ordinary and fractional boundary value problems using monotone iterative sequences has been investigated by several authors [22 25].