Advanced Numerical and Semi-Analytical Methods for Differential Equations

Acknowledgments

The first author greatly appreciates the patience, support, and encouragement provided by his family members, in particular, his wife Shewli, and daughters Shreyati and Susprihaa. The book may not have been possible without the blessings of his parents late Sh. Birendra K. Chakraborty and Smt. Parul Chakraborty. The second author's warmest gratitude goes to her family members for their continuous motivation and support, especially Sh. Devendra Mahato, Smt. Premshila, Tanuja, Devasish, and Satish. Further, the third author would like to thank for the support and encouragement provided by all his family members, in particular, his parents Sh. Veeraiah Perumandla and Smt. Alivela Perumandla, and his wife Madhavi as well as sons Charan Sai and Harshavardhan. Finally, the fourth author would like to acknowledge the blessings and motivation provided by his family members, especially his parents Sh. Tharasi Rama Rao and Smt. Tharasi Mahalaxmi. Also second, third, and fourth authors appreciate the inspiration of the first author and his family.

Our sincere acknowledgment goes to the reviewers for their fruitful suggestions and appreciations in the book proposal. Further, all the authors do appreciate the support and help of the whole team of Wiley. Finally, we are greatly indebted to the authors/researchers mentioned in the bibliography sections given at the end of each chapter.

S. Chakraverty

N. R. Mahato

P. Karunakar

T. D. Rao