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Information Seminar Paper

Title

NUMERICAL SOLUTION OF A CLASS OF TWO DIMENSIONAL NONLINEAR VOLTERRA INTEGRAL EQUATIONS USING BLOCKPULSE FUNCTIONS

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Abstract

 A METHOD FOR APPROXIMATING THE SOLUTION OF A CLASS OF TWO-DIMENSIONAL NONLINEAR VOLTERRA INTEGRAL EQUATIONS IS DISCUSSED. THE PROPERTIES OF TWO-DIMENSIONAL BLOCK-PULSE FUNCTIONS ARE PRESENTED. THE OPERATIONAL MATRICES OF INTEGRATION AND PRODUCT TOGETHER WITH THE COLLOCATION POINTS ARE UTILIZED TO REDUCE THE SOLUTION OF THE INTEGRAL EQUATION TO THE SOLUTION OF A SYSTEM OF NONLINEAR ALGEBRAIC EQUATIONS. A NUMERICAL EXAMPLE IS PRESENTED TO SHOW THE EFFICIENCY OF THE PROPOSED METHOD.

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