newton vs langrange coding
DESCRIPTION
Newton vs Langrange CodingTRANSCRIPT
>> x=0:0.1:6;
>> y=-((x-2).*(x-4).*(x-6)/48)-(x.*(x-4).*(x-6)/16)+(x.*(x-2).*(x-6)/16)+(x.*(x-2).*(x-4)/48);
>> plot (x,y)
>> grid
>> hold on
>> plot (0,1,'+r')
>> plot (2,-1,'+r')
>> plot (4,-1,'+r')
>> plot (6,1,'+r')
>> hold on
>> x=0:0.1:6;
>> y1=1-x+x.*(x-2)/4;
>> plot (x,y1,'.g')
>> title('Lagrange Interpolating Polynomial vs Newton Divided Difference')
>> text(0,1,'(0,1)')
>> text(2,-1,'(2,-1)')
>> text(4,-1,'(4,-1)')
>> text(6,1,'(6,1)')