Similarity transforms of the Boussinesq equation in a semi-in®nite medium are available when the boundary conditions are a power of time. The Boussinesq equation is reduced from a partial di€erential equation to a boundary-value problem. Chen et al. [Trans Porous Media 1995;18:15±36] use a hodograph method to derive an integral equation formulation of the new di€erential equation which they sol...

In this paper, the reliable treatment of homotopy perturbation method (HPM) [19] is applied to obtain the solution of the sine-Gordon partial di¤erential equation of arbitrary (fractional) order. The advantage of this algorithm is its ability to provide the analytical or approximate solutions to nonlinear equations with the capability to overcome the di¢ culty that arises in calculating complic...

We consider interpolation in Lie groups and homogeneous spaces. Based on points on the manifold together with tangent vectors at (some of) these points, we construct Hermite interpolation polynomials. If the points and tangent vectors are produced in the process of integrating an ordinary di erential equation on a Lie group or a homogeneous space, we use the truncated inverse of the di erential...

The suitability of methods from multidimensional systems theory and digital signal processing for the e cient simulation of time and space dependent problems has already been demonstrated. Properly chosen functional transformations for the time and space coordinates turn a partial di erential equation into a transfer function description of a multidimensional continuous system. It serves as the...

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Anionic detergents have been shown to lower markedly the differential-pulse voltammetric peak currents obtained for 12-molybdophosphate and 12molybdosilicate in aqueous solutions, but when ethanol water or acetone water (1 + 1 V / V ) solutions are used there is no interference. Static differential-pulse voltammetric and flow injection voltammetric procedures have been developed for the determi...

Defi nition 377 [18.2] Epidemiology and Pathogenesis 379 [18.3] Key Steps in the Diagnosis of AML 379 [18.4] Blasts and Blast Equivalents 380 [18.5] Classifi cation of AML 385 [18.6] Biologic Subtypes of AML 385 [18.7] AML, Not Otherwise Specifi ed (NOS) 408 [18.8] Prognostic Factors in AML 417 [18.9] Diagnostic Pitfalls in AML Diagnosis 419 [18.10] Minimal Residual Disease, Post-Th erapy Chang...

the performance of water flooding can be investigated by using either detail numerical modeling or simulation, or simply through the analytical buckley-leverett (bl) model. the buckley-leverett analytical technique can be applied to one-dimensional homogeneous systems. in this paper, the impact of heterogeneity on water flooding performance and fractional flow curve is investigated. first, a ba...