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1. DEVELOPMENT OF FALKNER-TYPE METHOD FOR NUMERICAL SOLUTION OF SECOND ORDER INITIAL VALUE PROBLEMS IN ORDINARY DIFFERENTIAL EQUATIONS

ABSTRACT

This research focuses on the formulation of block hybrid methods with power series as basic function through interpolation and collocation techniques for numerical solution of second order initial value problems in ordinary differential equations. The step number for the derive...

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2. ONE-STEP SECOND DERIVATIVE BLOCK INTRA-STEP POINTS FOR STIFF SYSTEMS OF INITIAL VALUE PROBLEMS

ABSTRACT Modified class of single-step numerical schemes were proposed to improve the order of accuracy by imposing intra-step points in the formulation process of the proposed algorithms. The behaviour of modified numerical algorithm is of great concern when varieties of countable off-grid point...

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