Description

To find second smallest element, first find the smallest element.
To find smallest element, first declare a largest element.
min = Integer.MAX_VALUE
Compare each element with this. If element smaller than this is found,
update min value. Continue this process until minimum element found.

Now for finding second smallest, again repeat the same process to find 
smallest element but also check it should not be equal to minimum 
element(min).

C/C++

/* C program to print second smallest element of the array*/
//Save it as SecondSmallestElementArray.c

#include<stdio.h>
#include<limits.h>

int main(){

    int i, n;

    printf("Enter the size of array : ");
    scanf("%d",&n);

    //Declaring array
    int arr[n];

    printf("Enter the elements of the array : ");
    for(i=0;i<n;i++){
        scanf("%d",&arr[i]);
    }

    //Declaring minimum element
    int minimum = INT_MAX;

    //Comparing with each element and find minimum element
    for(i=0;i<n;i++){
        if(arr[i]<minimum){
            minimum = arr[i];
        }
    }

    printf("The minimum value is : %d",minimum);

    int second_minimum = INT_MAX;


    //Finding Second smallest element.
    //Comparing with each element and also checking it is not equal to minimum
    for(i=0;i<n;i++){
        if(arr[i]<second_minimum && arr[i]!=minimum){
            second_minimum = arr[i];
        }
    }

    printf("\nThe second minimum value is : %d",second_minimum);

    return 0;
}

Output

Java

/*Java program to print second smallest element of the array*/
//Save it as SecondSmallestElementArray.java

import java.io.*;
import java.util.Scanner;

public class SecondSmallestElementArray {

    public static void main(String[] args) {
        
        Scanner scanner = new Scanner(System.in);

        System.out.println("Enter the size of array : ");
        int n = scanner.nextInt();
        
        //Declaring array
        int arr[] = new int[n];
        
        System.out.println("Enter the array elements : ");
        for(int i=0;i<n;i++) {
            arr[i] = scanner.nextInt();
        }
        
        //Declaring minimum element
        int minimum = Integer.MAX_VALUE;
        
        //Comparing with each element and find minimum element
        for(int i=0;i<n;i++) {
            if(arr[i]<minimum) {
                minimum = arr[i];
            }
        }
        
        System.out.println("The minimum value is : "+minimum);
        
        int second_minimum = Integer.MAX_VALUE;
        
        //Finding Second smallest element.
        //Comparing with each element and also checking it is not equal to minimum
        for(int i=0;i<n;i++) {
            if(arr[i]<second_minimum && arr[i]!=minimum) {
                second_minimum = arr[i];
            }
        }
        
        System.out.println("The second minimum value is : "+second_minimum);
    }
}

Output

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