Last Post By Date (for News website)

Hi! Please help me! How can i coding latest posts list by date for news website?

Example:
Today – 14.11.2014

• Lorem ipsum dolorem.
• Lorem ipsum dolorem.
• Lorem ipsum dolorem.
• Lorem ipsum dolorem.

Yesterday – 13.11.2014

• Lorem ipsum dolorem.
• Lorem ipsum dolorem.
• Lorem ipsum dolorem.
• Lorem ipsum dolorem.
• Lorem ipsum dolorem.
• Lorem ipsum dolorem.

I wrote this code,but every time by changing of date from 31 to 1’st of new month,yesterdays and todays articles are mixed ??

<div class="current-date"><?php echo date_i18n('j F', time()); ?></div>
<?php
$today = getdate();
$the_query = new WP_Query( 'year=' . $today["year"] . '&monthnum=' . $today["mon"] . '&day=' . $today["mday"] );

// The Loop
if ( $the_query->have_posts() ) {
        echo '<ul>';
	while ( $the_query->have_posts() ) {
		$the_query->the_post();
		echo '<li>';
		echo '<span class="cur-date">' . get_the_time() . '</span>';
		echo '<a href="' . get_the_permalink() . '" class="cur-link">' . get_the_title() . '</a>';
		echo '</li>';
	}
        echo '</ul>';
} else {
	echo '<p style="padding:10px;">';
	echo 'No posts.';
		echo '</p>';
}
/* Restore original Post Data */
wp_reset_postdata();?>

<div class="current-date"><?php echo date_i18n("j F", time() - 60 * 60 * 24);?></div>
<?php
$yesterday = getdate(time() - 60 * 60 * 24);
$the_query = new WP_Query( 'year=' . $yesterday["year"] . '&monthnum=' . $yesterday["mon"] . '&day=' . $yesterday["mday"] );

// The Loop
if ( $the_query->have_posts() ) {
        echo '<ul>';
	while ( $the_query->have_posts() ) {
		$the_query->the_post();
		echo '<li>';
		echo '<span class="cur-date">' . get_the_time() . '</span>';
		echo '<a href="' . get_the_permalink() . '" class="cur-link">' . get_the_title() . '</a>';
		echo '</li>';
	}
        echo '</ul>';
} else {
	echo '<p style="padding:10px;">';
	echo 'No posts.';
		echo '</p>';
}
/* Restore original Post Data */
wp_reset_postdata();?>