Advanced Numerical Methods for Differential Equations: Applications in Science and Engineering
暫譯: 微分方程的高級數值方法：科學與工程中的應用

數學模型用於將現實生活中的問題轉換為數學概念和語言。這些模型由微分方程所主導，其解使得理解現實生活中的問題變得容易。這些應用可以應用於工程和科學領域。

Harendra Singh is an Assistant Professor in the Department of Mathematics, Post-Graduate College, Ghazipur-233001, Uttar Pradesh, India. He did his Master of Science (M.Sc.) in Mathematics from Banaras Hindu University, Varanasi and Ph.D. in Mathematics from Indian Institute of Technology (BHU), Varanasi, India. He has qualified GATE, JRF and NBHM in Mathematics. He is also awarded by post-doctoral fellowship (PDF) in Mathematics from National Institute of Science Education and Research (NISER) Bhubaneswar Odisha, India. He primarily teaches the subjects like real and complex analysis, functional analysis, Abstract Algebra and measure theory in post-graduate level course in mathematics. His area of interest is Mathematical Modelling, Fractional Differential Equations, Integral Equations, Calculus of Variations, Analytical and Numerical Methods. His works have been published in Applied Numerical Mathematics, Applied Mathematics and Computations, Applied Mathematical Modelling, Chaos Solitions & Fractals, Numerical Methods for Partial Differential Equations, Physica A, Astrophysics and Space Science, Electronic Journal of Differential Equations, Few Body-system and several other peer-reviewed international journals. He has edited a book published by CRC press Taylor and Francis. His 32 research papers have been published in various Journals of repute with h-index of 11. His sole author papers have been published in Applied Mathematics and Computations, Chaos Solitions & Fractals, Astrophysics and Space Science and other peer-reviewed international journals. He has attained a number of National and International Conferences and presented several research papers. He has also attended Short Terms Programs and Workshops. He is reviewer of various Journals.

Jagdev Singh is an Professor in the Department of Mathematics, JECRC University, Jaipur-303905, Rajasthan, India. He did his Master of Science (M.Sc.) in Mathematics and Ph.D. in Mathematics from University of Rajasthan, India. He primarily teaches the subjects like mathematical modeling, real analysis, functional analysis, integral equations and special functions in post-graduate level course in mathematics. His area of interest is Integral Transforms, Special Functions, Fractional Calculus, Mathematical Modelling, Mathematical Biology, Fluid Dynamics, Applied Functional Analysis, Nonlinear Dynamics, Analytical and Numerical Methods. He has published three books: Advance Engineering Mathematics (2007), Engineering Mathematics-I (2008), Engineering Mathematics-II (2013). His works have been published in the Nonlinear Dynamics, Chaos Solitions & Fractals, Physica A, Journal of Computational and Nonlinear Dynamics, Applied Mathematical Modelling, Entropy, Advances in Nonlinear Analysis, Romanian Reports in Physics, Applied Mathematics and Computation, Chaos and several other peer-reviewed international journals. His 120 research papers have been published in various Journals of repute with h-index of 30. He has attained a number of National and International Conferences and presented several research papers. He has also attended Summer Courses, Short Terms Programs and Workshops. He is member of Editorial Board of various Journals of Mathematics. He is reviewer of various Journals.

Sunil Dutt Purohit is an Associate professor of Mathematics at Rajasthan Technical University, Kota, India. He did his Master of Science (M.Sc.) in Mathematics and Ph.D. in Mathematics from Jai Narayan Vyas University, Jodhpur, India. He was awarded University Gold Medal for being topper in M.Sc. Mathematics and awarded Junior Research Fellowship and Senior Research Fellow of Council of Scientific and Industrial Research. He primarily teaches the subjects like integral transforms, complex analysis, numerical analysis and optimization techniques in graduate and post-graduate level course in engineering mathematics. His research interest includes special functions, basic hypergeometric series, fractional calculus, geometric function theory, mathematical analysis and modelling. He's credited more than 150 research articles and four books so far. He has delivered talks at foreign and national institutions. He has also organized a number of academic events. He is a Life Member of Indian Mathematical Society (IMS), Indian Science Congress Association (ISCA), Indian Academy of Mathematics (IAM) and Society for Special Functions and their Applications, Soft Computing Research Society, India (SCRS) and International Association of Engineers (IAENG). Presently, he is general-secretary of the Rajasthan Ganita Parishad. He has also contributed in designing and redesigning of syllabus of engineering mathematics B. Tech. course work.

Devendra Kumar is an Assistant Professor in the Department of Mathematics, University of Rajasthan, Jaipur-302004, Rajasthan, India. He did his Master of Science (M.Sc.) in Mathematics and Ph.D. in Mathematics from University of Rajasthan, India. He primarily teaches the subjects like real and complex analysis, functional analysis, integral equations and special functions in post-graduate level course in mathematics. His area of interest is Integral Transforms, Special Functions, Fractional Calculus, Mathematical Modelling, Applied Functional Analysis, Nonlinear Dynamics, Analytical and Numerical Methods. He has published two books: Engineering Mathematics-I (2008), Engineering Mathematics-II (2013). His works have been published in the Nonlinear Dynamics, Chaos Solitions & Fractals, Physica A, Journal of Computational and Nonlinear Dynamics, Applied Mathematical Modelling, Entropy, Advances in Nonlinear Analysis, Romanian Reports in Physics, Applied Mathematics and Computation, Chaos and several other peer-reviewed international journals. His 130 research papers have been published in various Journals of repute with h-index of 30. He has attained a number of National and International Conferences and presented several research papers. He has also attended Summer Courses, Short Terms Programs and Workshops. He is member of Editorial Board of various Journals of Mathematics. He is reviewer of various Journals.

哈倫德拉·辛格（Harendra Singh）是印度北方邦加齊布爾（Ghazipur-233001）研究生學院數學系的助理教授。他在瓦拉納西的班納拉斯印度大學（Banaras Hindu University）獲得數學碩士（M.Sc.）學位，並在印度理工學院（BHU）獲得數學博士（Ph.D.）學位。他通過了數學的GATE、JRF和NBHM考試。他還獲得了印度奧里薩邦布巴內斯瓦爾國立科學教育與研究所（NISER）數學的博士後獎學金（PDF）。他主要教授研究生數學課程中的實分析、複分析、泛函分析、抽象代數和測度論等科目。他的研究興趣包括數學建模、分數微分方程、積分方程、變分法、分析方法和數值方法。他的研究成果已發表在《應用數值數學》、《應用數學與計算》、《應用數學建模》、《混沌解與分形》、《偏微分方程的數值方法》、《物理A》、《天體物理學與空間科學》、《電子微分方程期刊》、《少體系統》等多個同行評審的國際期刊上。他編輯了一本由CRC出版社泰勒與弗朗西斯出版的書籍。他的32篇研究論文已發表在多個知名期刊上，h指數為11。他的單篇作者論文已發表在《應用數學與計算》、《混沌解與分形》、《天體物理學與空間科學》等其他同行評審的國際期刊上。他參加了多個國內外會議並發表了多篇研究論文。他還參加了短期課程和工作坊。他是多個期刊的審稿人。

賈格德夫·辛格（Jagdev Singh）是印度拉賈斯坦邦齊普爾（Jaipur-303905）JECRC大學數學系的教授。他在印度拉賈斯坦大學獲得數學碩士（M.Sc.）和數學博士（Ph.D.）學位。他主要教授研究生數學課程中的數學建模、實分析、泛函分析、積分方程和特殊函數等科目。他的研究興趣包括積分變換、特殊函數、分數微積分、數學建模、數學生物學、流體動力學、應用泛函分析、非線性動力學、分析方法和數值方法。他出版了三本書籍：《高級工程數學》（2007年）、《工程數學-I》（2008年）、《工程數學-II》（2013年）。他的研究成果已發表在《非線性動力學》、《混沌解與分形》、《物理A》、《計算與非線性動力學期刊》、《應用數學建模》、《熵》、《非線性分析進展》、《羅馬尼亞物理報告》、《應用數學與計算》、《混沌》等多個同行評審的國際期刊上。他的120篇研究論文已發表在多個知名期刊上，h指數為30。他參加了多個國內外會議並發表了多篇研究論文。他還參加了夏季課程、短期課程和工作坊。他是多個數學期刊的編輯委員會成員，也是多個期刊的審稿人。

蘇尼爾·達特·普羅希特（Sunil Dutt Purohit）是印度科塔（Kota）拉賈斯坦技術大學的數學副教授。他在印度喬德布爾的賈伊·納拉揚·維亞斯大學獲得數學碩士（M.Sc.）和數學博士（Ph.D.）學位。他因在數學碩士課程中成為優等生而獲得大學金獎，並獲得科學與工業研究委員會的初級研究獎學金和高級研究獎學金。他主要教授工程數學的本科和研究生課程中的積分變換、複分析、數值分析和優化技術等科目。他的研究興趣包括特殊函數、基本超幾何級數、分數微積分、幾何函數理論、數學分析和建模。他迄今已發表超過150篇研究文章和四本書籍。他在國內外機構發表過演講，並組織過多個學術活動。他是印度數學學會（IMS）、印度科學大會（ISCA）、印度數學學院（IAM）、特殊函數及其應用學會、印度軟計算研究學會（SCRS）和國際工程師協會（IAENG）的終身會員。目前，他是拉賈斯坦數學學會的總秘書。他還參與了工程數學B.Tech課程的課程設計和重新設計。

德文德拉·庫馬爾（Devendra Kumar）是印度拉賈斯坦邦齊普爾（Jaipur-302004）拉賈斯坦大學數學系的助理教授。他在印度拉賈斯坦大學獲得數學碩士（M.Sc.）和數學博士（Ph.D.）學位。他主要教授研究生數學課程中的實分析、複分析、泛函分析、積分方程和特殊函數等科目。他的研究興趣包括積分變換、特殊函數、分數微積分、數學建模、應用泛函分析、非線性動力學、分析方法和數值方法。他出版了兩本書籍：《工程數學-I》（2008年）、《工程數學-II》（2013年）。他的研究成果已發表在《非線性動力學》、《混沌解與分形》、《物理A》、《計算與非線性動力學期刊》、《應用數學建模》、《熵》、《非線性分析進展》、《羅馬尼亞物理報告》、《應用數學與計算》、《混沌》等多個同行評審的國際期刊上。他的130篇研究論文已發表在多個知名期刊上，h指數為30。他參加了多個國內外會議並發表了多篇研究論文。他還參加了夏季課程、短期課程和工作坊。他是多個數學期刊的編輯委員會成員，也是多個期刊的審稿人。