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<!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>Mathematical Analysis and its Contemporary Applications</JournalTitle>
<Issn></Issn>
<Volume>2</Volume>
<Issue>1</Issue>
<PubDate PubStatus="epublish">
<Year>2020</Year>
<Month>03</Month>
<Day>20</Day>
</PubDate>
</Journal>
<ArticleTitle>A simple method to solve nonlinear Volterra-Fredholm integro-differential equations</ArticleTitle>
<VernacularTitle></VernacularTitle>
<FirstPage></FirstPage>
<LastPage></LastPage>
<ELocationID EIdType="doi">10.30495/maca.2020.679851</ELocationID>
<Language>EN</Language>
<AuthorList>
<Author>
<FirstName>Mohsen</FirstName>
<LastName>Mohamadi</LastName>
<Affiliation>Department of Mathematics, Ayatollah Amoli Branch, Islamic Azad University, Amol, Iran.</Affiliation>
<Identifier Source="ORCID"></Identifier>
</Author>
<Author>
<FirstName>Amir</FirstName>
<LastName>Shahmari</LastName>
<Affiliation>Department of Mathematics, Ayatollah Amoli Branch, Islamic Azad University, Amol, Iran.</Affiliation>
<Identifier Source="ORCID"></Identifier>
</Author>
</AuthorList>
<PublicationType>Journal Article</PublicationType>
<History>
<PubDate PubStatus="received">
<Year>2020</Year>
<Month>03</Month>
<Day>20</Day>
</PubDate>
</History>
<Abstract>In this paper, a new simple direct method to solve nonlinear Fredholm-Volterra integral equations is presented. By using Block-pulse (BP) functions, their operational matrices and Taylor expansion a nonlinear Fredholm-Volterra integral equation converts to a nonlinear system. Some numerical examples illustrate accuracy and reliability of our solutions. Moreover, the effect of noise shows our method is stable.</Abstract>
<ObjectList>
<Object Type="keyword">
<Param Name="value">Nonlinear Volterra-Fredholm integro-differential equation</Param>
</Object>
<Object Type="keyword">
<Param Name="value">Block-pulse functions</Param>
</Object>
<Object Type="keyword">
<Param Name="value">Taylor expansion</Param>
</Object>
<Object Type="keyword">
<Param Name="value">Operational matrices</Param>
</Object>
</ObjectList>
</Article>
</ArticleSet>