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		<title>k-Wave User Forum &#187; Topic: NPE - Nonlinear parabolic equation</title>
		<link>http://www.k-wave.org/forum/topic/npe-nonlinear-parabolic-equation</link>
		<description>Support for the k-Wave MATLAB toolbox</description>
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		<pubDate>Tue, 12 May 2026 22:33:40 +0000</pubDate>
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			<title>Bradley Treeby on "NPE - Nonlinear parabolic equation"</title>
			<link>http://www.k-wave.org/forum/topic/npe-nonlinear-parabolic-equation#post-8008</link>
			<pubDate>Tue, 19 Jan 2021 19:58:22 +0000</pubDate>
			<dc:creator>Bradley Treeby</dc:creator>
			<guid isPermaLink="false">8008@http://www.k-wave.org/forum/</guid>
			<description>&#60;p&#62;Hi Jasper,&#60;/p&#62;
&#60;p&#62;The nonlinear equation solved in k-Wave (in the functions &#60;code&#62;kspaceFirstOrder3D&#60;/code&#62; etc) is described in &#60;a href=&#34;http://www.k-wave.org/papers/2012-Treeby-JASA.pdf&#34;&#62;this paper&#60;/a&#62;. All of the codes in k-Wave implement full wave models (i.e., discretise x,y,z and step in t). Aside from the two angular spectrum codes, there are none that implement moving time windows and step in space.&#60;/p&#62;
&#60;p&#62;Brad.
&#60;/p&#62;</description>
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		<item>
			<title>bm24 on "NPE - Nonlinear parabolic equation"</title>
			<link>http://www.k-wave.org/forum/topic/npe-nonlinear-parabolic-equation#post-7976</link>
			<pubDate>Fri, 04 Dec 2020 15:19:23 +0000</pubDate>
			<dc:creator>bm24</dc:creator>
			<guid isPermaLink="false">7976@http://www.k-wave.org/forum/</guid>
			<description>&#60;p&#62;Hello everyone,&#60;/p&#62;
&#60;p&#62;I am a novice in nonlinear acoustics simulation. I was surfing through the various codes, but couldn't find an implementation of the NPE equation, a close relative of the KZK equation, but with a different numerical implementation that involves time-moving window and Flux Corrected Transport method to treat the non linear term.&#60;br /&#62;
I'd appreciate any help from more experienced users.&#60;/p&#62;
&#60;p&#62;Thank you!&#60;br /&#62;
Jasper
&#60;/p&#62;</description>
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