This paper deals with valuation and premium decomposition of American floatingstrike lookback options written on dividend-paying assets, for which exact formulas are unknown except for the perpetual case. Via a PDE approach, we derive Laplace transforms of the values of lookback call and put options, which can be decomposed as the associated European values plus the early exercise premiums. Usi...

A dynamic adaptive numerical method for solving partial differential equations on the sphere is developed. The method is based on second generation spherical wavelets on almost uniform nested spherical triangular grids, and is an extension of the adaptive wavelet collocation method to curved manifolds. Wavelet decomposition is used for grid adaption and interpolation. An OðN Þ hierarchical fini...

In this paper, we apply the homotopy perturbation transform method (HPTM) to obtain the solution of linear and nonlinear Schrödinger equations. The HPTM is a combined form of the Laplace transform method with the homotopy perturbation method. This method finds the solution without any discretization or restrictive assumptions and avoids the round-off errors. The fact that this technique solves ...

In this paper, a combined form of the Laplace transform method with the homotopy perturbation method is proposed to solve nonlinear equations. This method is called the homotopy perturbation transform method (HPTM). The nonlinear terms can be easily handled by the use of He’s polynomials. The proposed scheme finds the solution without any discretization or restrictive assumptions and avoids the...

Troesch’s problem arose while the investigation of the confinement of a plasma column by applying radiation pressure was being conducted. It is an unstable problem in itself, with a two-point boundary value. The application of the Optimal Homotopy Asymptotic Method (OHAM) is used to attain an approximate solution for the nonlinear differential equation which provides and apt description of Troe...

At the heart of numerical weather prediction algorithms lie a Laplace and positive definite Helmholtz problems on the sphere [12]. Recently, there has been interest in using finite elements [2] and domain decomposition methods [1, 10]. The Schwarz iteration [7, 8, 9] and its variants [9, 4, 5, 6, 3, 11] are popular domain decomposition methods. In this paper, we introduce improved transmission ...

In this article, we use the p -Laplace decomposition method to find solution initial value problems that involve generalized fractional derivatives. The id="M2"><mi transform examine solutions given examples demon...

In this paper, a new analytical technique is proposed for solving fractional partial differential equations. This method referred to as the general conformal multiple Laplace transform decomposition method. It combination of and Adomian The main theoretical results using are presented. addition, illustrative examples provided demonstrate validity symmetry presented