ONE NONLINEAR ALGEBRAIC EQUATION FUNCTIONS (1) CONVERSION OF MOST OF THE PROBLEM TYPES REQUIRES CONVERSION OF THE POLYMATH MODEL INTO A MATLAB FUNCTION TO PREPARE THE FUNCTIONS COPY THE IMPLICIT EQUATION AND THE ORDERED EXPLICIT EQUATIONS FROM THE POLYMATH SOLUTION REPORT: (demonstrated in reference to Demo 2).
TEACHING PROGRAMMING OR NUMERICAL METHODS (INSTEAD OF PROBLEM SOLVING)? THE USE OF POLYMATH PREPROCESSOR IS STILL APPLICABLE BUT DIFFERENT SOLVED EXAMPLES ARE NEEDED.ġ ONE NONLINEAR ALGEBRAIC EQUATION - FZERO – SLIDES 3-9 2 SYSTEMS OF NONLINEAR ALGEBRAIC EQUATIONS – FSOLVE – SLIDES 10-14 3 ODE – INITIAL VALUE PROBLEMS – ODE45 – SLIDES 15-20 4 ODE – BOUNDARY VALUE PROBLEMS – FZERO+ODE45 – SLIDES 21-26 5 DAE – INITIAL VALUE PROBLEMS – ODE45+FZERO – SLIDES 27-31 6 PARTIAL DIFFERENTIAL EQS – METHOD OF LINES+ODE45 – SLIDE 32 7 MULTIPLE LINEAR REGRESSION – MLIN_REG – SLIDES 33-37 8 POLYNOMIAL REGRESSION – POLY_REG – SLIDES 38-42 9 MULTIPLE NONLINEAR REGRESSION – NLN_REG – SLIDES 43-47 CONVERTING POLYMATH SOLUTIONS TO MATLAB FILES TYPES OF PROBLEMS DISCUSSED
WHY USE SOLVED EXAMPLES? IT IS MUCH EASIER AND FASTER TO REVISE AND MODIFY A WORKING PROGRAM OF THE SAME TYPE THAN WRITING FROM SCRATCH. WHY USE A POLYMATH PREPROCESSOR ? SMALLER SUBTASKS OF THE COMPLEX MODEL CAN BE MUCH EASIER AND FASTER CODED AND DEBUGGED USING POLYMATH. Converting POLYMATH Solutions to MATLAB Files Introduction WHY MATLAB FOR NUMERICAL PROBLEM SOLVING? LARGE SCALE, COMPLEX PROBLEMS MAY REQUIRE PROGRAMMING BY EITHER MATLAB OR A PROGRAMMING LANGUAGE (C, PASCAL OR FORTRAN).
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