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2003 Course Applied Computational Techniques (Elective)

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Total No. of Questions : 10] P1529 [Total No. of Pages : 2 [3764]-376 B.E. (Petroleum Engineering) APPLIED COMPUTATIONAL TECHNIQUES (2003 Course) (Elective) Time : 3 Hours] [Max. Marks : 100 Instructions to the candidates: 1) Answers to two sections should be written in separate answer books. 2) Attempt three questions fron each section. 3) Neat diagrams must be drawn wherever necessary. 4) Figures to the right indicate full marks. 5) Use of a electronic pocket calculator is allowed. 6) Assume suitable data, if necessary. SECTION - I Q1) a) Find the roots of the equation x3 + 3x2 + 2x - 3 = 0, using Regula Falsi method. [6] b) Find the roots of the equation using x2 + xy = 10, y + 3xy = 52 by Newton Raphson method. [6] c) Give one example of linear and non linear equations in Petroleum Engineering. What do the roots represent? [4] Q2) Given the differential equation, y = 2 xy + x. y (0) = 4, h = 0.1 a) Using Runge Kutta 4, find y(0.1). [6] b) Using Adams Bashforth Predictor Corrector Method find y(0.1). [8] c) Give two examples of differential equations in Petroleum Engineering. [2] Q3) Write a detailed note on software package in Petroleum Engineering Reservoir Simulation, with reference to data required, equations used. [18] Q4) a) Write an algorithm for solving an integration using simpson 1/3 rule. [7] P.T.O. 1

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