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            <front>

                <journal-meta>
                                    <journal-id></journal-id>
            <journal-title-group>
                                                                                    <journal-title>Natural and Applied Sciences Journal</journal-title>
            </journal-title-group>
                            <issn pub-type="ppub">2645-9000</issn>
                                                                                                        <publisher>
                    <publisher-name>Izmir University of Democracy</publisher-name>
                </publisher>
                    </journal-meta>
                <article-meta>
                                        <article-id pub-id-type="doi">10.38061/idunas.1296023</article-id>
                                                                <article-categories>
                                            <subj-group  xml:lang="en">
                                                            <subject>Mathematical Sciences</subject>
                                                    </subj-group>
                                            <subj-group  xml:lang="tr">
                                                            <subject>Matematik</subject>
                                                    </subj-group>
                                    </article-categories>
                                                                                                                                                        <title-group>
                                                                                                                        <article-title>Stability of  Solution of  Quasilinear Parabolic Two-Dimensional  with Inverse Coefficient by Fourier Method</article-title>
                                                                                                                                        </title-group>
            
                                                    <contrib-group content-type="authors">
                                                                        <contrib contrib-type="author">
                                                                    <contrib-id contrib-id-type="orcid">
                                        https://orcid.org/0000-0002-1877-9791</contrib-id>
                                                                <name>
                                    <surname>Bağlan</surname>
                                    <given-names>İrem</given-names>
                                </name>
                                                                    <aff>kocaeli üniversitesi</aff>
                                                            </contrib>
                                                                                </contrib-group>
                        
                                        <pub-date pub-type="pub" iso-8601-date="20230704">
                    <day>07</day>
                    <month>04</month>
                    <year>2023</year>
                </pub-date>
                                        <volume>6</volume>
                                        <issue>1</issue>
                                        <fpage>9</fpage>
                                        <lpage>20</lpage>
                        
                        <history>
                                    <date date-type="received" iso-8601-date="20230511">
                        <day>05</day>
                        <month>11</month>
                        <year>2023</year>
                    </date>
                                                    <date date-type="accepted" iso-8601-date="20230619">
                        <day>06</day>
                        <month>19</month>
                        <year>2023</year>
                    </date>
                            </history>
                                        <permissions>
                    <copyright-statement>Copyright © 2018, Natural and Applied Sciences Journal</copyright-statement>
                    <copyright-year>2018</copyright-year>
                    <copyright-holder>Natural and Applied Sciences Journal</copyright-holder>
                </permissions>
            
                                                                                                <abstract><p>In this article, the heat inverse two-dimensional quasilinear parabolic problem is examined. The stability and numerical solution for the problem are discussed.Since the problem is not linear, Picard&#039;s successive approximations theorem is used. In the numerical part, the solution is made with the finite difference and linearization method.</p></abstract>
                                                                                    
            
                                                            <kwd-group>
                                                    <kwd>Inverse problem</kwd>
                                                    <kwd>  Fourier method</kwd>
                                                    <kwd>  Periodic boundary conditions</kwd>
                                                    <kwd>  Picard Method</kwd>
                                                    <kwd>  Two dimension parabolic problem</kwd>
                                                    <kwd>  Fourier coefficient.</kwd>
                                            </kwd-group>
                                                        
                                                                                                                                                    </article-meta>
    </front>
    <back>
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                        <label>1</label>
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                        <mixed-citation publication-type="journal">6. Bağlan, I., Kanca, F. (2020). Two-dimensional inverse quasilinear parabolic problems with periodic boundary conditions of the boundary-value problem of heat conduction with periodic boundary conditions, Applicable Analysis, 98(8), 1549-1565.</mixed-citation>
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                    </back>
    </article>
