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## Modeling Tsunami Runup Due to the Andaman Tsunami Along Beaches in Malaysia

In an earlier paper, we modeled the propagation of waves across the deep oceans due to tsunami created from an earthquake that occurred around Banda Aceh, Indonesia on December 26, 2004 by means of an in-house tsunami propagation model TUNA-M2. Tsunami wave heights were simulated from the deep ocean up to offshore coasts at depths exceeding 50 m. In this paper, we develop an in-house model TUNA-RP, based upon the finite difference method, to guide the tsunami waves at these offshore locations onto the shallow coasts up to the beaches. The inputs for this model TUNA-RP are derived from the output of TUNA-M2 simulations, accounting for combinations of various source generation conditions reported. The synoptically simulated runup heights along certain beaches in Malaysia will be compared to the runup heights surveyed after the tsunami occurrence. Numerical stability and accuracy of the model will be briefly discussed in conjunction with other analytical and empirical formulations
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## Algebraic On Magic Square Of Odd Order N

In this paper we described the relation betrreen a magic square of oddorder n and a group, and their properties. By the modulo number n, weconstruct entries for each table from initial table of magic square withlarge number n2. Generalization of the underlying ideas are presented, we have unique group, and we also prove variants of the main result formagic cubes.
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## Combustion Modeling of Gasoline Two-stroke Linear Engine by the Modified Weibe Function

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## An Improved Search Algorithm For Solving Mixed-integer Non Linear Programming Problem

The special nonlinear mathematical programming problem which isaddressed in this paper has a structure characterized by a subset ofvariables restricted to assume discrete values, which are linear andseperable from the continuous variables. The strategy of releasingnonbasic variables from their bounds, combined with the "activeconshaint" method and the notion of superbasics, has been developedfor efficiently tackling such a problem by ignoring the integralityrequirements, this strategy is used to force the appropriate non-integerbasic variables to move to their neighbourhood integer points. A studyof criteria for choosing a nonbasic variable to work with in theintegerizing shategy has also been made. Successful implementation ofthese algorithms was achieved on various test problems. The resultshow that the proposed integerizing strategy is promosing in tacklingcertain classes of mixed integer programming problems.
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