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Now showing items 1-7 of 7

#### A Naive Finite difference Approximations for Singularly Perturbed Parabolic Reaction-Diffusion problems

(2016-06-07)

In this thesis, we treated a Standard Finite Difference Scheme for a singularly perturbed parabolic reaction-diffusion equation. We proved that the Standard Finite Difference Scheme is not a robust technique for solving ...

#### A Strong Convergence Theorem for Zeros of Bounded Maximal Monotone Mappings in Banach Spaces with Applications

(2016-06-07)

Let E be a uniformly convex and uniformly smooth real Banach space and E ∗ be its dual.
Let A : E → 2 E be a bounded maximal monotone map. Assume that A −1 (0) 6 = ∅. A new iterative sequence is constructed which converges ...

#### On J-fixed points of J-pseudocontractions with applications

(2016-06-07)

Let E be a real normed space with dual space E ∗ and let A : E → 2 E be any map. Let J : E → 2 E be the normalized duality map on E. A new class of mappings, J-pseudocontractive maps, is introduced and the notion of J-fixed ...

#### An Algorithm for Solutions of Hammerstein Integral Equations with Monotone Operators

(2016-06-07)

Let X be a uniformly convex and uniformly smooth real Banach space with dual space X ∗ . Let F : X → X ∗ and K : X ∗ → X be bounded monotone mappings such that the Hammerstein equation u + KF u = 0 has a solution in X. An ...

#### Why Classical Finite difference Approximations fail for a singularly perturbed System of Convection-Diffusion Equations

(2016-06-07)

We consider classical Finite Difference Scheme for a system of singularly perturbed convection-diffusion equations coupled in their reactive terms, we prove that the classical SFD scheme is not a robust technique for solving ...

#### Maximal Monotone Operators on Hilbert Spaces and Applications

(2016-05)

Let H be a real Hilbert space and A : D(A) ⊂ H → H be an unbounded, linear, self-adjoint, and maximal monotone operator. The aim of this thesis is to solve u 0 (t) + Au(t) = 0, when A is linear but not bounded. The classical ...

#### Why Classical Finite difference Approximations fail for a singularly perturbed System of Convection-Diffusion Equations

(2016-06-07)

We consider classical Finite Difference Scheme for a system of singularly perturbed convection-diffusion equations coupled in their reactive terms, we prove that the classical SFD scheme is not a robust technique for solving ...