Ashur
Please try following code with date_query. this is working fine at my end.
Let me know if you want any additional detail.
<?php
$postdate = get_the_date('Y-m-d');
$args = array(
'posts_per_page' => -1,
'post_type' => 'post',
'date_query' => array(
'after' => $postdate,
)
);
$update = new WP_Query($args);
while ($update->have_posts()) {
$update->the_post();
$post_id = get_the_ID();
$post_title = get_the_title();
$post_date = get_the_date();
$post_link = get_the_permalink();
?>
<p class="center">
<span><a href="https://wordpress.stackexchange.com/questions/355705/<?php echo $post_link; ?>"><?php echo $post_title; ?></a></span><br>
<span class="small"><i><?php echo $post_date; ?></i></span>
</p>
<?php } ?>