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### Co-authors

- Dr. Khalid k. AliMathematics Department, faculty of science, Al-Azhar UniversityVerified email at azhar.edu.eg
- talaat s el danafProfessor of Pure Mathematics, Mathematics Department, Faculty of Science, Menoufia UniversityVerified email at taibahu.edu.sa
- A.A. SolimanProfessor of Mathematics, Faculty of Science, Arish UniversityVerified email at aru.edu.eg
- Hasan AlzubaidiAssociate Professor, Mathematics Department, Alqunfudah University College, Umm Al-Qura UniversityVerified email at uqu.edu.sa
- Mohamed Ahmed Abd EL SalamMathematics Department, Faculty of Science Al-Azhar University, Nasr-City, 11884, Cairo, EgyptVerified email at azhar.edu.eg
- Hosny Ali Abdusalam (H. A. Abdusalam)Professor of Applied MathematicsVerified email at sci.cu.edu.eg
- M. A. ShaalanAssistant LecturerVerified email at hti.edu.eg
- Samir Kumar BhowmikProfessor, Department of Mathematics, University of Dhaka, BangladeshVerified email at du.ac.bd
- kh S MekheimerProf. of Applied Mathematics, Faculty of Science (Men), Al-Azhar University , Egypt.Verified email at azhar.edu.eg
- Dr. A. M. A. MoawadAssistant Professor of Applied Mathematics, Al-Azhar UniversityVerified email at azhar.edu.eg
- Rabea Abo elkhairR. E. Abo elkhairVerified email at azhar.edu.eg
- Refaat Mahfouzprof. of materials chemistry .Assiut universityVerified email at aun.edu.eg

K R Raslan

Professor of Numerical Analysis, Mathematics Department, Al-Azhar University, Egypt

Verified email at azhar.edu.eg