NUMERICAL SOLUTION OF SYSTEMS OF NONLINEAR ALGEBRAIC EQUATIONS

By SUSAN SANCHEZ

CONTENTS MONOTONE ITERATIVE TECHNIQUE FOR NON-AUTONOMOUS SEMILINEAR DIFFERENTIAL EQUATIONS WITH NON-INSTANTANEOUS IMPULSES AN EXTRAPOLATED CRANK NICHOLSON VMS-POD METHOD FOR DARCY BRINKMAN EQUATIONS COMPARISON OF EXACT AND NUMERICAL SOLUTIONS FOR THE SHARMA–TASSO–OLVER EQUATION A LINEAR B-SPLINE APPROXIMATION FOR A CLASS OF NONLINEAR TIME AND SPACE FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS ESCAPING FROM CURRENT MINIMIZER BY USING AN AUXILIARY FUNCTION SMOOTHED BY BEZIER CURVES A MODI?ED LAGUERRE MATRIX APPROACH FOR BURGERS–FISHER TYPE NONLINEAR EQUATIONS INCREASING THE EFFECTS OF AUXILIARY FUNCTION BY MULTIPLE EXTREMA IN GLOBAL OPTIMIZATION A NEW APPROACH FOR THE SOLUTION OF THE GENERALIZED ABEL INTEGRAL EQUATION NPSOG: A NEW HYBRID METHOD FOR UNCONSTRAINED DIFFERENTIABLE OPTIMIZATION DETECTION OF HIV-1 PROTEASE CLEAVAGE SITES VIA HIDDEN MARKOV MODEL AND PHYSICOCHEMICAL PROPERTIES OF AMINO ACIDS A NUMERICAL APPROACH FOR VARIABLE ORDER FRACTIONAL EQUATIONS EVOLUTION OF PLANE CURVES VIA LIE SYMMETRY ANALYSIS IN THE GALILEAN PLANE