How can I write this equation into MATLAB script

[dpb]

You could try the symbolic toolbox but I don't know how successful it'll be.

Basically, you need to write a function that computes enough terms of the series that it converges to some chosen level of accuracy.

[Lauren Maher]

Thank you!

Answer 1

[Jyothis Gireesh]

Symbolic Math Toolbox may be used to implement the above equation in MATLAB. Here are a few suggestions which may be helpful in the implementation

• Declare “n” as a symbolic variable and “N” as a symbolic function of two variables “x” and “t” using the following syntax

syms n N(x,t) 

• To implement the summation term, use the following code

F = exp(-((2*n+1)*pi)^2*D*t/L^2)*sin((2*n+1)*pi*x/L)/((2*n+1)*pi^3);  
Fsum = symsum(F,n,0,inf); 

Here “n” is replaced by “2n+1” so that only odd terms are considered in the summation.

The function “symsum()” sets the limits of summation from 0 to inf.

Remaining terms can be written as normal equation in MATLAB

Please use the following documentation links on how to create symbolic functions and “symsum()” to get a better understanding

Creating symbolic functions - https://www.mathworks.com/help/symbolic/symfun.html

Sum of series - https://www.mathworks.com/help/symbolic/symsum.html

[Lauren Maher]

Thank you!