Discussion of (2+1) dimensional mixed integral equation with singular kernel
In this paper we discuss the uniqueness and existence of solution for a Quadratic Mixed Integral Equation (QMIE) on 2+1 dimensional in L2([0, a]×[0, b]×C[0, T]), (T < 1) space using fixed point theorem. Further we demonstrate convergence of the given existence result. Also we discuss the theoreti...
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Dera Natung Government College
2024-12-01
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| Series: | Dera Natung Government College Research Journal |
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| Online Access: | https://dngc.ac.in/journals/index.php/dngcrj/article/view/202 |
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| author | Ruprekha Devi |
| author_facet | Ruprekha Devi |
| author_sort | Ruprekha Devi |
| collection | DOAJ |
| description | In this paper we discuss the uniqueness and existence of solution for a Quadratic Mixed Integral Equation (QMIE) on 2+1 dimensional in L2([0, a]×[0, b]×C[0, T]), (T < 1) space using fixed point theorem. Further we demonstrate convergence of the given existence result. Also we discuss the theoretical part of the Chybeshev polynomial method extending in 2+1 dimensional format and finally discuss the error analysis of the method. |
| format | Article |
| id | doaj-art-5bf6a5c22a4a45dcb9b83a5ae4a6c638 |
| institution | OA Journals |
| issn | 2456-8228 2583-5483 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Dera Natung Government College |
| record_format | Article |
| series | Dera Natung Government College Research Journal |
| spelling | doaj-art-5bf6a5c22a4a45dcb9b83a5ae4a6c6382025-08-20T02:32:29ZengDera Natung Government CollegeDera Natung Government College Research Journal2456-82282583-54832024-12-0191769010.56405/dngcrj.2024.09.01.07202Discussion of (2+1) dimensional mixed integral equation with singular kernelRuprekha Devi0https://orcid.org/0009-0006-8621-4844Department of Mathematics, Gauhati University, Guwahati-781014, Assam, IndiaIn this paper we discuss the uniqueness and existence of solution for a Quadratic Mixed Integral Equation (QMIE) on 2+1 dimensional in L2([0, a]×[0, b]×C[0, T]), (T < 1) space using fixed point theorem. Further we demonstrate convergence of the given existence result. Also we discuss the theoretical part of the Chybeshev polynomial method extending in 2+1 dimensional format and finally discuss the error analysis of the method.https://dngc.ac.in/journals/index.php/dngcrj/article/view/202quadratic mixed integral equation(qmie)volterra fredholm integral equationbanach fptsingular kernechebyshev polynomialfpt (fixed point theorem) |
| spellingShingle | Ruprekha Devi Discussion of (2+1) dimensional mixed integral equation with singular kernel Dera Natung Government College Research Journal quadratic mixed integral equation(qmie) volterra fredholm integral equation banach fpt singular kerne chebyshev polynomial fpt (fixed point theorem) |
| title | Discussion of (2+1) dimensional mixed integral equation with singular kernel |
| title_full | Discussion of (2+1) dimensional mixed integral equation with singular kernel |
| title_fullStr | Discussion of (2+1) dimensional mixed integral equation with singular kernel |
| title_full_unstemmed | Discussion of (2+1) dimensional mixed integral equation with singular kernel |
| title_short | Discussion of (2+1) dimensional mixed integral equation with singular kernel |
| title_sort | discussion of 2 1 dimensional mixed integral equation with singular kernel |
| topic | quadratic mixed integral equation(qmie) volterra fredholm integral equation banach fpt singular kerne chebyshev polynomial fpt (fixed point theorem) |
| url | https://dngc.ac.in/journals/index.php/dngcrj/article/view/202 |
| work_keys_str_mv | AT ruprekhadevi discussionof21dimensionalmixedintegralequationwithsingularkernel |