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### Co-authors

- Eid H. DohaCairo UniversityVerified email at sci.cu.edu.eg
- Ali H. BhrawyAssociate Professor of Numerical Analysis, Mathematics Department, Beni-Suef University, EgyptVerified email at science.bsu.edu.eg
- M. A. AbdelkawyBeni-Suef University, Al-Imam Mohammad Ibn Saud Islamic University (IMSIU), Imam Mohammad Ibn SaudVerified email at science.bsu.edu.eg
- Ahmed A. El-KalaawyFaculty of Science, Mathematics Department, Beni-Suef University, EgyptVerified email at science.bsu.edu.eg
- Ramy. M. HafezFaculty of Education, Mathematics Department, Matrouh UniversityVerified email at mau.edu.eg
- Mahmoud A. ZakyNational Research Centre, EgyptVerified email at nrc.sci.eg
- A.Z.M. AminPhD, Universiti Kebangsaan Malaysia (UKM), Faculty of Science&Technology, Department of Mathematics.Verified email at siswa.ukm.edu.my
- Robert A. Van GorderDepartment of Mathematics and Statistics, University of OtagoVerified email at otago.ac.nz
- Engy AhmedDoctor of mathematics and computer science, Beni-Suef UniversityVerified email at science.bsu.edu.eg

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Samer S. Ezz-Eldien

.Department of Mathematics, Faculty of Science, New Valley, Egypt,

Verified email at sci.nvu.edu.eg