Custom Taxonomy + JQuery Tabs

This should work, but it’s not tested
<div id="tabs">   

<ul id="tab-menu"> 
<?php
$terms = get_terms('category');
global $wpdb;
$posts = array();
if ( is_array($terms) && ! empty($terms) ) {
$active = null;
foreach ( $terms as $i => $term ) {
  $ids = $wpdb->get_col( $wpdb->prepare("SELECT object_id FROM $wpdb->term_relationships
  WHERE term_taxonomy_id = %d",
  $term->term_taxonomy_id
  ));
  $articles_count = count($ids);
  if ( $articles_count > 0 ) { 
    if ( is_null($active) ) $active = $i;
    $posts[$term->term_id] = get_posts( array('post__in' => $ids, 'posts_per_page' => 5, 'orderby' => 'post_date', 'order' => 'DESC') );
  }
  $class = ($active == $i) ? 'term-heading active' : 'term-heading';
  ?>
  <li class="<?php echo $class; ?>">
    <a class="term-heading" href="#<?php echo $term->slug; ?>"><?php echo $term->name; ?></a>
  </li>
<?php
}
  echo '</ul>  <!-- end #tab-menu -->' . PHP_EOL;
}

//This part of code creates tabs content
if ( is_null($active) ) $active = 0;
foreach ( $terms as $i => $term ) {
  $class = ($active == $i) ? 'tab-content active' : 'tab-content';
  ?>
  <div class="<?php echo $class; ?>"  id="<?php echo $term->slug; ?>">
  <?php
  if ( ! empty($posts[$term->term_id]) ) {
    echo '<ul>' . PHP_EOL;
    global $post;

    foreach ($posts[$term->term_id] as $post) {
    setup_postdata($post); 
  ?>
    <li><a href="<?php the_permalink(); ?>" title="<?php the_title(); ?>"><?php the_title(); ?></a></li>
  <?php
  }
    echo '</ul>' . PHP_EOL;
  } else {
    printf('<p>%s</p>', __('No posts in this category.'));
  }
  wp_reset_postdata();
  ?>
  </div>
<?php } ?>

</div> <!-- end #tabs -->
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