The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Displaying similar documents to “Enclosing methods for perturbed boundary value problems in nonlinear difference equations”

How to increase convergence order of the Newton method to 2 × m ?

Sanjay Kumar Khattri (2014)

Applications of Mathematics

Similarity:

We present a simple and effective scheme for forming iterative methods of various convergence orders. In this scheme, methods of various convergence orders, such as four, six, eight and ten, are formed through a modest modification of the classical Newton method. Since the scheme considered is a simple modification of the Newton method, it can be easily implemented in existing software packages, which is also suggested by the presented pseudocodes. Finally some problems are solved, to...

Some boundedness results for systems of two rational difference equations

Gabriel Lugo, Frank Palladino (2010)

Open Mathematics

Similarity:

We study k th order systems of two rational difference equations x n = α + ∑ i = 1 k β i x n - 1 + ∑ i = 1 k γ i y n - 1 A + ∑ j = 1 k B j x n - j + ∑ j = 1 k C j y n - j , y n = p + ∑ i = 1 k δ i x n - i + ∑ i = 1 k ε i y n - i q + ∑ j = 1 k D j x n - j + ∑ j = 1 k E j y n - j n ∈ ℕ . In particular, we assume non-negative parameters and non-negative initial conditions, such that the denominators are nonzero. We develop several approaches which allow us to extend well known boundedness results on the k th order rational difference equation to the setting of systems in certain cases.