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issue with save custom post meta in custom table

until now, I was saving my custom post meta in post_meta table. and my code was:

function add_book_meta_box() {  
    add_meta_box(  
        'book_meta_box',   
        'book info',   
        'show_book_meta_box',   
        'book',   
        'normal',   
        'high');  
} 
add_action('add_meta_boxes', 'add_book_meta_box');  
$book_meta_fields = array(
    array(  
    'label'=> 'name',
    'desc'  => 'name',
    'id'    => 'publisher',
    'type'  => 'text'  
),
    array(  
    'label'=> 'year',
    'desc'  => 'year',
    'id'    => 'period',
    'type'  => 'text'  
),
    array(  
    'label'=> 'poster',
    'desc'  => 'poster',  
    'id'    => 'poster',  
    'type'  => 'text'  
));
function show_book_meta_box() {  
global $book_meta_fields, $post;
$featured_fields_book = get_post_meta($post->ID, 'featured_fields_book', true);
echo '<input type="hidden" name="book_meta_box_nonce" value="'.wp_create_nonce(basename(__FILE__)).'" />';
?>
<?php
foreach ($book_meta_fields as $field) {
$meta = get_post_meta($post->ID, $field['id'], true);
echo '<div class="row-meta"><label for="'.$field['id'].'">'.$field['label'].'</label>';
switch($field['type']) {
case 'text':
echo '<input type="text" name="'.$field['id'].'" id="'.$field['id'].'" value="'.$meta.'" placeholder="'.$field['desc'].'">';
break;
}
echo '</div>';
}?>
<script type="text/javascript">
jQuery(document).ready(function($) {
    $('.metabox_submit').click(function(e) {
        e.preventDefault();
        $('#publish').click();
    });
    $('#add-row').on('click', function() {
        var row = $('.empty-row.screen-reader-text').clone(true);
        row.removeClass('empty-row screen-reader-text');
        row.insertBefore('#download_link tbody>tr:last');
        return false;
    });
    $('.remove-row').on('click', function() {
        $(this).parents('tr').remove();
        return false;
    });
    $('#download_link tbody').sortable({
        opacity: 0.6,
        revert: true,
        cursor: 'move',
        handle: '.sort'
    });
});
    </script>
<table id="download_link" width="100%">
    <thead>
        <tr>
            <th>-</th>
            <th>vol</th>
            <th>part</th>
            <th><i class="icon_move"></i></th>
        </tr>
    </thead>
    <tbody>
<?php
    if ( $featured_fields_book ) :
    foreach ( $featured_fields_book as $field ) {
?>
<tr>
    <td><a class="button remove-row" href="#">-</a></td>
    <td><input type="text" class="widefat" name="vol_num[]" value="<?php if($field['vol_num'] != '') echo esc_attr( $field['vol_num'] ); ?>" /></td>
    <td><input type="text" class="widefat" name="part_num[]" value="<?php if($field['part_num'] != '') echo esc_attr( $field['part_num'] ); ?>" /></td>
    <td><a class="sort"><i class="icon_move"></i></a></td>
</tr>
<?php
}
else :
// show a blank one
?>
<tr>
    <td><a class="button remove-row" href="#">-</a></td>
    <td><input type="text" class="widefat" name="vol_num[]" /></td>
    <td><input type="text" class="widefat" name="part_num[]" /></td>
    <td><a class="sort"><i class="icon_move"></i></a></td>
</tr>
<?php endif; ?>
<!-- empty hidden one for jQuery -->
<tr class="empty-row screen-reader-text">
<td><a class="button remove-row" href="#">-</a></td>
<td><input type="text" class="widefat" name="vol_num[]" /></td>
<td><input type="text" class="widefat" name="part_num[]" /></td>
<td><a class="sort"><i class="icon_move"></i></a></td>
</tr>
</tbody>
</table>
<p><a id="add-row" class="button button-primary button-large" href="#">add new</a>
</p>
<?php
echo '</div>';
    }
function save_book_meta($post_id) {
    global $book_meta_fields;
    if (!wp_verify_nonce($_POST['book_meta_box_nonce'], basename(__FILE__)))
        return $post_id;
    if (defined('DOING_AUTOSAVE') && DOING_AUTOSAVE)
        return $post_id;
    if ('page' == $_POST['post_type']) {
        if (!current_user_can('edit_page', $post_id))
            return $post_id;
        } elseif (!current_user_can('edit_post', $post_id)) {
            return $post_id;
    }
    foreach ($book_meta_fields as $field) {
    $old = get_post_meta($post_id, $field['id'], true);
    $old2 = get_post_meta($post_id, 'featured_fields_book', true);
    $new = $_POST[$field['id']];
    $new2 = array();
    $vol_num = $_POST['vol_num'];
    $part_num = $_POST['part_num'];
    $count = count( $vol_num );
    for ( $i = 0; $i < $count; $i++ ) {
        if ( $vol_num[$i] != '' ) :
        $new2[$i]['vol_num'] = stripslashes( strip_tags( $vol_num[$i] ) );
        endif;
        if ( $part_num[$i] != '' ) :
        $new2[$i]['part_num'] = stripslashes( strip_tags( $part_num[$i] ) );
        endif;
    }
    if ($new && $new != $old || $new2 && $new2 != $old2) {
        if($field['id'] == 'poster-book'){
            $idposter = uploader_poster($_POST['poster-book']);
            set_post_thumbnail($post_id, $idposter);
        }
        update_post_meta($post_id, $field['id'], $new);
        update_post_meta( $post_id, 'featured_fields_book', $new2 );
    } elseif ('' == $new && $old || '' == $new2 && $old2) {
        delete_post_meta($post_id, $field['id'], $old);
        delete_post_meta( $post_id, 'featured_fields_book', $old2 );
    }
}

}  
add_action('save_post', 'save_book_meta');
?> 

It was saving meta right. but now I want to save these meta in new custom table. I have created the table {wp_lib_infometa}:

    global $wpdb;
    $charset_collate = $wpdb->get_charset_collate();
    require_once( ABSPATH . 'wp-admin/includes/upgrade.php' );
    $table_name = $wpdb->prefix . 'lib_infometa';
    $sql = "CREATE TABLE $table_name (
 meta_id INTEGER NOT NULL AUTO_INCREMENT,
 post_id TEXT NOT NULL,
 publisher TEXT NOT NULL,
 period TEXT NOT NULL,
 poster TEXT NOT NULL,
 vol_num TEXT NOT NULL,
 part_num TEXT NOT NULL,
 PRIMARY KEY (meta_id)
 ) $charset_collate;";
    dbDelta( $sql );
}
add_action("after_switch_theme", "lib_infometa_create_db");

but i don’t know how to save these meta in this table. my code that has issue is (I was using this code where update_post_meta in last code is. is that right place?):

global $wpdb;
        $table_name = "wp_lib_infometa";
        $vol_num = $_POST['vol_num'];
        $period = $_POST['period'];
        $info = array(
            'post_id' => $post_id,
            'period' => $period,
            'vol_num' => $vol_num,
        );
        $datum = $wpdb->get_results("SELECT * FROM $table_name WHERE post_id= '".$post_id."'");
        if($wpdb->num_rows > 0) {
            $wpdb->update($table_name, $info, array('post_id' => $post_id));
        }
        else{
            $wpdb->insert($table_name, $info);
        }

any one can help please?