Download Advances in Applied Mathematics by Ali R. Ansari (eds.) PDF

By Ali R. Ansari (eds.)

This quantity includes contributions from the Gulf overseas convention in utilized arithmetic, held on the Gulf collage for technological know-how & know-how. The court cases displays the 3 significant subject matters of the convention. the 1st of those used to be mathematical biology, together with a keynote deal with by way of Professor Philip Maini. the second one topic used to be computational science/numerical research, together with a keynote deal with by means of Professor Grigorii Shishkin. The convention additionally addressed extra common purposes themes, with papers in enterprise functions, fluid mechanics, optimization, scheduling difficulties and engineering functions, in addition to a keynote by means of Professor Ali Nayfeh.

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E. 1 1 e wmax e w /; (7) where is a positive constant. Observe that ˇ in (7) ranges from ˇmax to ˇmin as w ranges from 0 to wmax D umax = . 3 The Optimal Control Problem In this section, we will consider the model given by (2)–(4), (6), and (7) and look for optimal strategies for implementing health campaigns. t / over a finite horizon tf . “Optimal” in the sense that the campaign target is to minimize the total costs associated to both the disease and Modeling Human Response to Bed–Net Promotion Campaigns and Its Impact.

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Keywords Singularly perturbed boundary value problem • Convection-diffusion equation • Standard difference scheme • Uniform grid • Uniform norm • Conditioning of difference scheme • Perturbed difference scheme • Computer perturbations 1 Introduction Classical difference schemes on uniform grids (standard difference schemes) are widely used for solving applied problems [1]. Quite often such schemes are applied to solve singularly perturbed equations. However, for the convection-diffusion G. Shishkin ( ) • L.

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