<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE ArticleSet PUBLIC "-//NLM//DTD PubMed 2.7//EN" "https://dtd.nlm.nih.gov/ncbi/pubmed/in/PubMed.dtd">
<ArticleSet>
<Article>
<Journal>
<PublisherName>OICC Press</PublisherName>
<JournalTitle>International Journal of Mathematical Modelling &amp; Computations</JournalTitle>
<Issn>2228-6233</Issn>
<Volume>7</Volume>
<Issue>3</Issue>
<PubDate PubStatus="epublish">
<Year>2025</Year>
<Month>07</Month>
<Day>14</Day>
</PubDate>
</Journal>
<ArticleTitle>Determination of a Source Term in an Inverse Heat Conduction Problem by Radial Basis Functions</ArticleTitle>
<VernacularTitle></VernacularTitle>
<FirstPage></FirstPage>
<LastPage></LastPage>
<ELocationID EIdType="doi">10.71932/</ELocationID>
<Language>EN</Language>
<AuthorList>
<Author>
<FirstName>Muhammad</FirstName>
<LastName>Arghand</LastName>
<Affiliation>Department of Mathematics, Islamic Azad University, South Tehran Branch, Tehran, Iran.</Affiliation>
<Identifier Source="ORCID"></Identifier>
</Author>
</AuthorList>
<PublicationType>Journal Article</PublicationType>
<History>
<PubDate PubStatus="received">
<Year>2025</Year>
<Month>07</Month>
<Day>14</Day>
</PubDate>
</History>
<Abstract>In this paper, we propose a technique for determining a source term in an inverse heat conduction problem (IHCP) using Radial Basis Functions (RBFs). Because of being very suitable instruments, the RBFs have been applied for solving Partial Dierential Equations (PDEs) by some researchers. In the current study, a stable meshless method will be pro- posed for solving an (IHCP). The other advantage of the method is that can be applied to the problems with various types of boundary conditions. The results of numerical experiments are presented and compared with analytical solutions. The results demonstrate the reliability and efficiency of the proposed scheme.</Abstract>
<ObjectList>
<Object Type="keyword">
<Param Name="value">Radial basis functions</Param>
</Object>
<Object Type="keyword">
<Param Name="value">Direct heat conduction problem</Param>
</Object>
<Object Type="keyword">
<Param Name="value">Inverse heat conduction problem</Param>
</Object>
<Object Type="keyword">
<Param Name="value">heat equation</Param>
</Object>
</ObjectList>
</Article>
</ArticleSet>