MATLAB PROGRAMS FOR SOME NUMERICAL METHODS AND ALGORITHMS (I)

D.A.GISMALLA

In[1],We have listed and described some numerical methods and techniques for the reader so that he can be acquainted with them and then a description program flow chart is mentioned without the Matlab Software Program . Here , We list the Matlab Software Programs for each Interpolation Method mentioned in [1]. These Methods are

1. Taylor's Interpolation stored in M-file "Taylor.m”

2. Lagrange Polynomial stored in M-file " lagran.m”

3. Newton’s Forward divided _difference formula stored in M-file " newton_table.m”

4. Newton' divided polynomial stored in M-file " newton_poly.m”

5. NEWTON'S divided_difference stored in M-file " newton_backdiagonal.m”

6. NEWTON'S forward difference stored in M-file " newtonforward.m”

7. NEWTON'S backward difference stored in M-file " newton_backward.m”

The reader must distinguishes between when the symbol the semicolon ; and the percentage % can be removed or not in the MATLAB statement . Each one has a different meaning to be carefully supper pressed or not , specially % when one COPIES and PASTES any M_file. Further , the name of each M_file for a particular described method that We have mentioned can be found within the FUNCTION name in the MATLAB PROGRAM . Hence , there is no need to mention or state the corresponding file name for each method or algorithm in the second paper (II) as this is similar for having the same title as above to complete the job. Furthermore , the Command Instructions Window must be typed and submitted carefully so that the execution of the corresponding M_file runs safely.