[Vuejs]-Search in particular column in table bootstrap-vue.js

Use the prop filter-included-fields to specify an array that contains the field names to only filter on.

If the field you want to filter on is called name:

<b-table :filter-included-fields="['name']" ... >
</b-table>

See the docs at https://bootstrap-vue.js.org/docs/components/table/#built-in-filtering-options