I'll try breaking down the logic for you.
A palindrome is where a word can be read from either direction and still be the same word. For example 'mom'. One way to check if a word is a palindrome is by looking at the word from the first letter, and the last letter at the same time, then going through and checking to see if they are the same letter.
That is what this code is doing. It is making sure that the first and last letter are the same, then moves on to the 2nd and 2nd last letter. If it finds a difference, then it returns an error/false.
To break down a bit of your code:
for (int i = 0; i < s.length() / 2; i++) {
is looping through your word. Since you are only going to go half way through your word, we only need to go to s.length()/2
.
if (s.charAt(i) != s.charAt(s.length() - i - 1)) {
checks the character at the start and end, where s.length() -i -1
specifically gets the index for the last character - i (the number of times you've gone through it) -1 (coz index counting is strange).